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Finding the Third Proportional to 129,614.50 and 185,349.50

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Solution

The third proportional to 129,614.50 and 185,349.50 is: 265,050.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,614.50 : 185,349.50 = 185,349.50 : x
  2. Step 2: Convert to fraction form
    129,614.50/185,349.50 = 185,349.50/x
  3. Step 3: Cross multiply
    129,614.50x = 185,349.50 × 185,349.50
  4. Step 4: Simplify right side
    129,614.50x = 34,354,437,150.25
  5. Step 5: Solve for x
    x = 34,354,437,150.25/129,614.50
  6. Step 6: Final answer
    x = 265,050.88

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.