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Finding the Third Proportional to 103,702 and 160,414

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Solution

The third proportional to 103,702 and 160,414 is: 248,140.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,702 : 160,414 = 160,414 : x
  2. Step 2: Convert to fraction form
    103,702/160,414 = 160,414/x
  3. Step 3: Cross multiply
    103,702x = 160,414 × 160,414
  4. Step 4: Simplify right side
    103,702x = 25,732,651,396
  5. Step 5: Solve for x
    x = 25,732,651,396/103,702
  6. Step 6: Final answer
    x = 248,140.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.