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Finding the Third Proportional to 125,709.38 and 272,847.63

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Solution

The third proportional to 125,709.38 and 272,847.63 is: 592,205.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,709.38 : 272,847.63 = 272,847.63 : x
  2. Step 2: Convert to fraction form
    125,709.38/272,847.63 = 272,847.63/x
  3. Step 3: Cross multiply
    125,709.38x = 272,847.63 × 272,847.63
  4. Step 4: Simplify right side
    125,709.38x = 74,445,826,468.14
  5. Step 5: Solve for x
    x = 74,445,826,468.14/125,709.38
  6. Step 6: Final answer
    x = 592,205.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.