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Finding the Third Proportional to 60,131 and 93,470

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Solution

The third proportional to 60,131 and 93,470 is: 145,293.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,131 : 93,470 = 93,470 : x
  2. Step 2: Convert to fraction form
    60,131/93,470 = 93,470/x
  3. Step 3: Cross multiply
    60,131x = 93,470 × 93,470
  4. Step 4: Simplify right side
    60,131x = 8,736,640,900
  5. Step 5: Solve for x
    x = 8,736,640,900/60,131
  6. Step 6: Final answer
    x = 145,293.46

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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.