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Finding the Third Proportional to 129,022.50 and 195,478.50

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Solution

The third proportional to 129,022.50 and 195,478.50 is: 296,164.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,022.50 : 195,478.50 = 195,478.50 : x
  2. Step 2: Convert to fraction form
    129,022.50/195,478.50 = 195,478.50/x
  3. Step 3: Cross multiply
    129,022.50x = 195,478.50 × 195,478.50
  4. Step 4: Simplify right side
    129,022.50x = 38,211,843,962.25
  5. Step 5: Solve for x
    x = 38,211,843,962.25/129,022.50
  6. Step 6: Final answer
    x = 296,164.19

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.