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Finding the Third Proportional to 125,904.38 and 195,239.11

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Solution

The third proportional to 125,904.38 and 195,239.11 is: 302,756.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,904.38 : 195,239.11 = 195,239.11 : x
  2. Step 2: Convert to fraction form
    125,904.38/195,239.11 = 195,239.11/x
  3. Step 3: Cross multiply
    125,904.38x = 195,239.11 × 195,239.11
  4. Step 4: Simplify right side
    125,904.38x = 38,118,309,829.54
  5. Step 5: Solve for x
    x = 38,118,309,829.54/125,904.38
  6. Step 6: Final answer
    x = 302,756.04

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.