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Finding the Third Proportional to 125,188.66 and 265,276.27

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Solution

The third proportional to 125,188.66 and 265,276.27 is: 562,123.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,188.66 : 265,276.27 = 265,276.27 : x
  2. Step 2: Convert to fraction form
    125,188.66/265,276.27 = 265,276.27/x
  3. Step 3: Cross multiply
    125,188.66x = 265,276.27 × 265,276.27
  4. Step 4: Simplify right side
    125,188.66x = 70,371,497,103.95
  5. Step 5: Solve for x
    x = 70,371,497,103.95/125,188.66
  6. Step 6: Final answer
    x = 562,123.56

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.