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Finding the Third Proportional to 60,702 and 95,022

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Solution

The third proportional to 60,702 and 95,022 is: 148,746.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,702 : 95,022 = 95,022 : x
  2. Step 2: Convert to fraction form
    60,702/95,022 = 95,022/x
  3. Step 3: Cross multiply
    60,702x = 95,022 × 95,022
  4. Step 4: Simplify right side
    60,702x = 9,029,180,484
  5. Step 5: Solve for x
    x = 9,029,180,484/60,702
  6. Step 6: Final answer
    x = 148,746.01

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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.