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Finding the Third Proportional to 60,534 and 90,346

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Solution

The third proportional to 60,534 and 90,346 is: 134,839.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,534 : 90,346 = 90,346 : x
  2. Step 2: Convert to fraction form
    60,534/90,346 = 90,346/x
  3. Step 3: Cross multiply
    60,534x = 90,346 × 90,346
  4. Step 4: Simplify right side
    60,534x = 8,162,399,716
  5. Step 5: Solve for x
    x = 8,162,399,716/60,534
  6. Step 6: Final answer
    x = 134,839.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.