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Finding the Third Proportional to 118,154.25 and 175,376.25

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Solution

The third proportional to 118,154.25 and 175,376.25 is: 260,310.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,154.25 : 175,376.25 = 175,376.25 : x
  2. Step 2: Convert to fraction form
    118,154.25/175,376.25 = 175,376.25/x
  3. Step 3: Cross multiply
    118,154.25x = 175,376.25 × 175,376.25
  4. Step 4: Simplify right side
    118,154.25x = 30,756,829,064.06
  5. Step 5: Solve for x
    x = 30,756,829,064.06/118,154.25
  6. Step 6: Final answer
    x = 260,310.81

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.