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Finding the Third Proportional to 98,484.50 and 127,500.50

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Solution

The third proportional to 98,484.50 and 127,500.50 is: 165,065.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,484.50 : 127,500.50 = 127,500.50 : x
  2. Step 2: Convert to fraction form
    98,484.50/127,500.50 = 127,500.50/x
  3. Step 3: Cross multiply
    98,484.50x = 127,500.50 × 127,500.50
  4. Step 4: Simplify right side
    98,484.50x = 16,256,377,500.25
  5. Step 5: Solve for x
    x = 16,256,377,500.25/98,484.50
  6. Step 6: Final answer
    x = 165,065.34

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.