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Finding the Third Proportional to 124,041.38 and 191,716.88

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Solution

The third proportional to 124,041.38 and 191,716.88 is: 296,315.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,041.38 : 191,716.88 = 191,716.88 : x
  2. Step 2: Convert to fraction form
    124,041.38/191,716.88 = 191,716.88/x
  3. Step 3: Cross multiply
    124,041.38x = 191,716.88 × 191,716.88
  4. Step 4: Simplify right side
    124,041.38x = 36,755,360,159.77
  5. Step 5: Solve for x
    x = 36,755,360,159.77/124,041.38
  6. Step 6: Final answer
    x = 296,315.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.