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Finding the Third Proportional to 60,709 and 95,026

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Solution

The third proportional to 60,709 and 95,026 is: 148,741.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,709 : 95,026 = 95,026 : x
  2. Step 2: Convert to fraction form
    60,709/95,026 = 95,026/x
  3. Step 3: Cross multiply
    60,709x = 95,026 × 95,026
  4. Step 4: Simplify right side
    60,709x = 9,029,940,676
  5. Step 5: Solve for x
    x = 9,029,940,676/60,709
  6. Step 6: Final answer
    x = 148,741.38

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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.