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Finding the Third Proportional to 60,978 and 95,034

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Solution

The third proportional to 60,978 and 95,034 is: 148,110.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,978 : 95,034 = 95,034 : x
  2. Step 2: Convert to fraction form
    60,978/95,034 = 95,034/x
  3. Step 3: Cross multiply
    60,978x = 95,034 × 95,034
  4. Step 4: Simplify right side
    60,978x = 9,031,461,156
  5. Step 5: Solve for x
    x = 9,031,461,156/60,978
  6. Step 6: Final answer
    x = 148,110.16

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.