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Finding the Third Proportional to 59,008.50 and 127,863

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Solution

The third proportional to 59,008.50 and 127,863 is: 277,060.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,008.50 : 127,863 = 127,863 : x
  2. Step 2: Convert to fraction form
    59,008.50/127,863 = 127,863/x
  3. Step 3: Cross multiply
    59,008.50x = 127,863 × 127,863
  4. Step 4: Simplify right side
    59,008.50x = 16,348,946,769
  5. Step 5: Solve for x
    x = 16,348,946,769/59,008.50
  6. Step 6: Final answer
    x = 277,060.88

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.