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Finding the Third Proportional to 60,830 and 90,996

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Solution

The third proportional to 60,830 and 90,996 is: 136,121.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,830 : 90,996 = 90,996 : x
  2. Step 2: Convert to fraction form
    60,830/90,996 = 90,996/x
  3. Step 3: Cross multiply
    60,830x = 90,996 × 90,996
  4. Step 4: Simplify right side
    60,830x = 8,280,272,016
  5. Step 5: Solve for x
    x = 8,280,272,016/60,830
  6. Step 6: Final answer
    x = 136,121.52

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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.