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Finding the Third Proportional to 65,013.75 and 139,726.13

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Solution

The third proportional to 65,013.75 and 139,726.13 is: 300,296.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,013.75 : 139,726.13 = 139,726.13 : x
  2. Step 2: Convert to fraction form
    65,013.75/139,726.13 = 139,726.13/x
  3. Step 3: Cross multiply
    65,013.75x = 139,726.13 × 139,726.13
  4. Step 4: Simplify right side
    65,013.75x = 19,523,390,007.52
  5. Step 5: Solve for x
    x = 19,523,390,007.52/65,013.75
  6. Step 6: Final answer
    x = 300,296.32

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.