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Finding the Third Proportional to 60,768 and 95,134

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Solution

The third proportional to 60,768 and 95,134 is: 148,934.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,768 : 95,134 = 95,134 : x
  2. Step 2: Convert to fraction form
    60,768/95,134 = 95,134/x
  3. Step 3: Cross multiply
    60,768x = 95,134 × 95,134
  4. Step 4: Simplify right side
    60,768x = 9,050,477,956
  5. Step 5: Solve for x
    x = 9,050,477,956/60,768
  6. Step 6: Final answer
    x = 148,934.93

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.