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Finding the Third Proportional to 121,363.13 and 188,434.88

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Solution

The third proportional to 121,363.13 and 188,434.88 is: 292,574.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,363.13 : 188,434.88 = 188,434.88 : x
  2. Step 2: Convert to fraction form
    121,363.13/188,434.88 = 188,434.88/x
  3. Step 3: Cross multiply
    121,363.13x = 188,434.88 × 188,434.88
  4. Step 4: Simplify right side
    121,363.13x = 35,507,702,116.27
  5. Step 5: Solve for x
    x = 35,507,702,116.27/121,363.13
  6. Step 6: Final answer
    x = 292,574.06

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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.