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Finding the Third Proportional to 60,117.19 and 129,868.31

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Solution

The third proportional to 60,117.19 and 129,868.31 is: 280,548.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,117.19 : 129,868.31 = 129,868.31 : x
  2. Step 2: Convert to fraction form
    60,117.19/129,868.31 = 129,868.31/x
  3. Step 3: Cross multiply
    60,117.19x = 129,868.31 × 129,868.31
  4. Step 4: Simplify right side
    60,117.19x = 16,865,778,591.60
  5. Step 5: Solve for x
    x = 16,865,778,591.60/60,117.19
  6. Step 6: Final answer
    x = 280,548.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.