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Finding the Third Proportional to 125,895.38 and 257,608.13

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Solution

The third proportional to 125,895.38 and 257,608.13 is: 527,119.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,895.38 : 257,608.13 = 257,608.13 : x
  2. Step 2: Convert to fraction form
    125,895.38/257,608.13 = 257,608.13/x
  3. Step 3: Cross multiply
    125,895.38x = 257,608.13 × 257,608.13
  4. Step 4: Simplify right side
    125,895.38x = 66,361,946,066.02
  5. Step 5: Solve for x
    x = 66,361,946,066.02/125,895.38
  6. Step 6: Final answer
    x = 527,119.81

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.