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Finding the Third Proportional to 125,985.38 and 195,078.38

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Solution

The third proportional to 125,985.38 and 195,078.38 is: 302,063.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,985.38 : 195,078.38 = 195,078.38 : x
  2. Step 2: Convert to fraction form
    125,985.38/195,078.38 = 195,078.38/x
  3. Step 3: Cross multiply
    125,985.38x = 195,078.38 × 195,078.38
  4. Step 4: Simplify right side
    125,985.38x = 38,055,572,392.64
  5. Step 5: Solve for x
    x = 38,055,572,392.64/125,985.38
  6. Step 6: Final answer
    x = 302,063.41

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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.