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Finding the Third Proportional to 65,019.38 and 103,443.75

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Solution

The third proportional to 65,019.38 and 103,443.75 is: 164,575.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,019.38 : 103,443.75 = 103,443.75 : x
  2. Step 2: Convert to fraction form
    65,019.38/103,443.75 = 103,443.75/x
  3. Step 3: Cross multiply
    65,019.38x = 103,443.75 × 103,443.75
  4. Step 4: Simplify right side
    65,019.38x = 10,700,609,414.06
  5. Step 5: Solve for x
    x = 10,700,609,414.06/65,019.38
  6. Step 6: Final answer
    x = 164,575.70

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.