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Finding the Third Proportional to 82,503 and 127,966.50

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Solution

The third proportional to 82,503 and 127,966.50 is: 198,482.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,503 : 127,966.50 = 127,966.50 : x
  2. Step 2: Convert to fraction form
    82,503/127,966.50 = 127,966.50/x
  3. Step 3: Cross multiply
    82,503x = 127,966.50 × 127,966.50
  4. Step 4: Simplify right side
    82,503x = 16,375,425,122.25
  5. Step 5: Solve for x
    x = 16,375,425,122.25/82,503
  6. Step 6: Final answer
    x = 198,482.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.