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Finding the Third Proportional to 129,661 and 174,792

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Solution

The third proportional to 129,661 and 174,792 is: 235,631.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,661 : 174,792 = 174,792 : x
  2. Step 2: Convert to fraction form
    129,661/174,792 = 174,792/x
  3. Step 3: Cross multiply
    129,661x = 174,792 × 174,792
  4. Step 4: Simplify right side
    129,661x = 30,552,243,264
  5. Step 5: Solve for x
    x = 30,552,243,264/129,661
  6. Step 6: Final answer
    x = 235,631.71

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.