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Finding the Third Proportional to 65,332.13 and 92,003.63

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Solution

The third proportional to 65,332.13 and 92,003.63 is: 129,563.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,332.13 : 92,003.63 = 92,003.63 : x
  2. Step 2: Convert to fraction form
    65,332.13/92,003.63 = 92,003.63/x
  3. Step 3: Cross multiply
    65,332.13x = 92,003.63 × 92,003.63
  4. Step 4: Simplify right side
    65,332.13x = 8,464,667,013.14
  5. Step 5: Solve for x
    x = 8,464,667,013.14/65,332.13
  6. Step 6: Final answer
    x = 129,563.63

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.