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Finding the Third Proportional to 60,562 and 90,863

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Solution

The third proportional to 60,562 and 90,863 is: 136,324.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,562 : 90,863 = 90,863 : x
  2. Step 2: Convert to fraction form
    60,562/90,863 = 90,863/x
  3. Step 3: Cross multiply
    60,562x = 90,863 × 90,863
  4. Step 4: Simplify right side
    60,562x = 8,256,084,769
  5. Step 5: Solve for x
    x = 8,256,084,769/60,562
  6. Step 6: Final answer
    x = 136,324.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.