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Finding the Third Proportional to 125,501.91 and 191,194.17

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Solution

The third proportional to 125,501.91 and 191,194.17 is: 291,272.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,501.91 : 191,194.17 = 191,194.17 : x
  2. Step 2: Convert to fraction form
    125,501.91/191,194.17 = 191,194.17/x
  3. Step 3: Cross multiply
    125,501.91x = 191,194.17 × 191,194.17
  4. Step 4: Simplify right side
    125,501.91x = 36,555,211,358.97
  5. Step 5: Solve for x
    x = 36,555,211,358.97/125,501.91
  6. Step 6: Final answer
    x = 291,272.16

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.