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Finding the Third Proportional to 58,321.13 and 127,508.06

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Solution

The third proportional to 58,321.13 and 127,508.06 is: 278,772.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,321.13 : 127,508.06 = 127,508.06 : x
  2. Step 2: Convert to fraction form
    58,321.13/127,508.06 = 127,508.06/x
  3. Step 3: Cross multiply
    58,321.13x = 127,508.06 × 127,508.06
  4. Step 4: Simplify right side
    58,321.13x = 16,258,306,002.50
  5. Step 5: Solve for x
    x = 16,258,306,002.50/58,321.13
  6. Step 6: Final answer
    x = 278,772.16

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.