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Finding the Third Proportional to 125,151 and 187,971

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Solution

The third proportional to 125,151 and 187,971 is: 282,323.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,151 : 187,971 = 187,971 : x
  2. Step 2: Convert to fraction form
    125,151/187,971 = 187,971/x
  3. Step 3: Cross multiply
    125,151x = 187,971 × 187,971
  4. Step 4: Simplify right side
    125,151x = 35,333,096,841
  5. Step 5: Solve for x
    x = 35,333,096,841/125,151
  6. Step 6: Final answer
    x = 282,323.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.