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Finding the Third Proportional to 122,531.91 and 187,402.36

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Solution

The third proportional to 122,531.91 and 187,402.36 is: 286,616.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,531.91 : 187,402.36 = 187,402.36 : x
  2. Step 2: Convert to fraction form
    122,531.91/187,402.36 = 187,402.36/x
  3. Step 3: Cross multiply
    122,531.91x = 187,402.36 × 187,402.36
  4. Step 4: Simplify right side
    122,531.91x = 35,119,644,299.32
  5. Step 5: Solve for x
    x = 35,119,644,299.32/122,531.91
  6. Step 6: Final answer
    x = 286,616.32

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.