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Finding the Third Proportional to 127,002.50 and 279,922

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Solution

The third proportional to 127,002.50 and 279,922 is: 616,966.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,002.50 : 279,922 = 279,922 : x
  2. Step 2: Convert to fraction form
    127,002.50/279,922 = 279,922/x
  3. Step 3: Cross multiply
    127,002.50x = 279,922 × 279,922
  4. Step 4: Simplify right side
    127,002.50x = 78,356,326,084
  5. Step 5: Solve for x
    x = 78,356,326,084/127,002.50
  6. Step 6: Final answer
    x = 616,966.80

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.