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Finding the Third Proportional to 74,570 and 112,940

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Solution

The third proportional to 74,570 and 112,940 is: 171,053.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,570 : 112,940 = 112,940 : x
  2. Step 2: Convert to fraction form
    74,570/112,940 = 112,940/x
  3. Step 3: Cross multiply
    74,570x = 112,940 × 112,940
  4. Step 4: Simplify right side
    74,570x = 12,755,443,600
  5. Step 5: Solve for x
    x = 12,755,443,600/74,570
  6. Step 6: Final answer
    x = 171,053.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.