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Finding the Third Proportional to 42,068 and 64,749

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Solution

The third proportional to 42,068 and 64,749 is: 99,658.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,068 : 64,749 = 64,749 : x
  2. Step 2: Convert to fraction form
    42,068/64,749 = 64,749/x
  3. Step 3: Cross multiply
    42,068x = 64,749 × 64,749
  4. Step 4: Simplify right side
    42,068x = 4,192,433,001
  5. Step 5: Solve for x
    x = 4,192,433,001/42,068
  6. Step 6: Final answer
    x = 99,658.48

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.