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Finding the Third Proportional to 125,292 and 187,998

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Solution

The third proportional to 125,292 and 187,998 is: 282,087.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,292 : 187,998 = 187,998 : x
  2. Step 2: Convert to fraction form
    125,292/187,998 = 187,998/x
  3. Step 3: Cross multiply
    125,292x = 187,998 × 187,998
  4. Step 4: Simplify right side
    125,292x = 35,343,248,004
  5. Step 5: Solve for x
    x = 35,343,248,004/125,292
  6. Step 6: Final answer
    x = 282,087.03

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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.