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Finding the Third Proportional to 125,637.75 and 196,657.88

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Solution

The third proportional to 125,637.75 and 196,657.88 is: 307,824.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,637.75 : 196,657.88 = 196,657.88 : x
  2. Step 2: Convert to fraction form
    125,637.75/196,657.88 = 196,657.88/x
  3. Step 3: Cross multiply
    125,637.75x = 196,657.88 × 196,657.88
  4. Step 4: Simplify right side
    125,637.75x = 38,674,319,799.52
  5. Step 5: Solve for x
    x = 38,674,319,799.52/125,637.75
  6. Step 6: Final answer
    x = 307,824.04

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.