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Finding the Third Proportional to 78,382 and 171,487

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Solution

The third proportional to 78,382 and 171,487 is: 375,185.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,382 : 171,487 = 171,487 : x
  2. Step 2: Convert to fraction form
    78,382/171,487 = 171,487/x
  3. Step 3: Cross multiply
    78,382x = 171,487 × 171,487
  4. Step 4: Simplify right side
    78,382x = 29,407,791,169
  5. Step 5: Solve for x
    x = 29,407,791,169/78,382
  6. Step 6: Final answer
    x = 375,185.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.