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Finding the Third Proportional to 118,172 and 175,526

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Solution

The third proportional to 118,172 and 175,526 is: 260,716.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,172 : 175,526 = 175,526 : x
  2. Step 2: Convert to fraction form
    118,172/175,526 = 175,526/x
  3. Step 3: Cross multiply
    118,172x = 175,526 × 175,526
  4. Step 4: Simplify right side
    118,172x = 30,809,376,676
  5. Step 5: Solve for x
    x = 30,809,376,676/118,172
  6. Step 6: Final answer
    x = 260,716.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.