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Finding the Third Proportional to 60,468 and 90,934

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Solution

The third proportional to 60,468 and 90,934 is: 136,749.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,468 : 90,934 = 90,934 : x
  2. Step 2: Convert to fraction form
    60,468/90,934 = 90,934/x
  3. Step 3: Cross multiply
    60,468x = 90,934 × 90,934
  4. Step 4: Simplify right side
    60,468x = 8,268,992,356
  5. Step 5: Solve for x
    x = 8,268,992,356/60,468
  6. Step 6: Final answer
    x = 136,749.89

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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.