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Finding the Third Proportional to 118,955.25 and 175,145.63

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Solution

The third proportional to 118,955.25 and 175,145.63 is: 257,878.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,955.25 : 175,145.63 = 175,145.63 : x
  2. Step 2: Convert to fraction form
    118,955.25/175,145.63 = 175,145.63/x
  3. Step 3: Cross multiply
    118,955.25x = 175,145.63 × 175,145.63
  4. Step 4: Simplify right side
    118,955.25x = 30,675,989,956.64
  5. Step 5: Solve for x
    x = 30,675,989,956.64/118,955.25
  6. Step 6: Final answer
    x = 257,878.40

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.