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Finding the Third Proportional to 142,724 and 187,719

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Solution

The third proportional to 142,724 and 187,719 is: 246,899.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,724 : 187,719 = 187,719 : x
  2. Step 2: Convert to fraction form
    142,724/187,719 = 187,719/x
  3. Step 3: Cross multiply
    142,724x = 187,719 × 187,719
  4. Step 4: Simplify right side
    142,724x = 35,238,422,961
  5. Step 5: Solve for x
    x = 35,238,422,961/142,724
  6. Step 6: Final answer
    x = 246,899.07

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.