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Finding the Third Proportional to 60,976 and 93,842

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Solution

The third proportional to 60,976 and 93,842 is: 144,422.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,976 : 93,842 = 93,842 : x
  2. Step 2: Convert to fraction form
    60,976/93,842 = 93,842/x
  3. Step 3: Cross multiply
    60,976x = 93,842 × 93,842
  4. Step 4: Simplify right side
    60,976x = 8,806,320,964
  5. Step 5: Solve for x
    x = 8,806,320,964/60,976
  6. Step 6: Final answer
    x = 144,422.74

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.