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Finding the Third Proportional to 125,165.25 and 158,587.88

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Solution

The third proportional to 125,165.25 and 158,587.88 is: 200,935.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,165.25 : 158,587.88 = 158,587.88 : x
  2. Step 2: Convert to fraction form
    125,165.25/158,587.88 = 158,587.88/x
  3. Step 3: Cross multiply
    125,165.25x = 158,587.88 × 158,587.88
  4. Step 4: Simplify right side
    125,165.25x = 25,150,114,097.02
  5. Step 5: Solve for x
    x = 25,150,114,097.02/125,165.25
  6. Step 6: Final answer
    x = 200,935.28

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.