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Finding the Third Proportional to 129,445.88 and 174,890.25

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Solution

The third proportional to 129,445.88 and 174,890.25 is: 236,288.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,445.88 : 174,890.25 = 174,890.25 : x
  2. Step 2: Convert to fraction form
    129,445.88/174,890.25 = 174,890.25/x
  3. Step 3: Cross multiply
    129,445.88x = 174,890.25 × 174,890.25
  4. Step 4: Simplify right side
    129,445.88x = 30,586,599,545.06
  5. Step 5: Solve for x
    x = 30,586,599,545.06/129,445.88
  6. Step 6: Final answer
    x = 236,288.72

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.