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Finding the Third Proportional to 60,464 and 90,928

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Solution

The third proportional to 60,464 and 90,928 is: 136,740.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,464 : 90,928 = 90,928 : x
  2. Step 2: Convert to fraction form
    60,464/90,928 = 90,928/x
  3. Step 3: Cross multiply
    60,464x = 90,928 × 90,928
  4. Step 4: Simplify right side
    60,464x = 8,267,901,184
  5. Step 5: Solve for x
    x = 8,267,901,184/60,464
  6. Step 6: Final answer
    x = 136,740.89

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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.