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Finding the Third Proportional to 142,767 and 187,623

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Solution

The third proportional to 142,767 and 187,623 is: 246,572.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,767 : 187,623 = 187,623 : x
  2. Step 2: Convert to fraction form
    142,767/187,623 = 187,623/x
  3. Step 3: Cross multiply
    142,767x = 187,623 × 187,623
  4. Step 4: Simplify right side
    142,767x = 35,202,390,129
  5. Step 5: Solve for x
    x = 35,202,390,129/142,767
  6. Step 6: Final answer
    x = 246,572.32

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.