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Finding the Third Proportional to 125,053.88 and 188,659.13

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Solution

The third proportional to 125,053.88 and 188,659.13 is: 284,615.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,053.88 : 188,659.13 = 188,659.13 : x
  2. Step 2: Convert to fraction form
    125,053.88/188,659.13 = 188,659.13/x
  3. Step 3: Cross multiply
    125,053.88x = 188,659.13 × 188,659.13
  4. Step 4: Simplify right side
    125,053.88x = 35,592,265,445.77
  5. Step 5: Solve for x
    x = 35,592,265,445.77/125,053.88
  6. Step 6: Final answer
    x = 284,615.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.