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Finding the Third Proportional to 59,340 and 92,292

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Solution

The third proportional to 59,340 and 92,292 is: 143,542.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,340 : 92,292 = 92,292 : x
  2. Step 2: Convert to fraction form
    59,340/92,292 = 92,292/x
  3. Step 3: Cross multiply
    59,340x = 92,292 × 92,292
  4. Step 4: Simplify right side
    59,340x = 8,517,813,264
  5. Step 5: Solve for x
    x = 8,517,813,264/59,340
  6. Step 6: Final answer
    x = 143,542.52

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.