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Finding the Third Proportional to 60,043 and 92,981

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Solution

The third proportional to 60,043 and 92,981 is: 143,987.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,043 : 92,981 = 92,981 : x
  2. Step 2: Convert to fraction form
    60,043/92,981 = 92,981/x
  3. Step 3: Cross multiply
    60,043x = 92,981 × 92,981
  4. Step 4: Simplify right side
    60,043x = 8,645,466,361
  5. Step 5: Solve for x
    x = 8,645,466,361/60,043
  6. Step 6: Final answer
    x = 143,987.91

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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.