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Finding the Third Proportional to 42,193.13 and 65,305.13

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Solution

The third proportional to 42,193.13 and 65,305.13 is: 101,077.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,193.13 : 65,305.13 = 65,305.13 : x
  2. Step 2: Convert to fraction form
    42,193.13/65,305.13 = 65,305.13/x
  3. Step 3: Cross multiply
    42,193.13x = 65,305.13 × 65,305.13
  4. Step 4: Simplify right side
    42,193.13x = 4,264,759,351.27
  5. Step 5: Solve for x
    x = 4,264,759,351.27/42,193.13
  6. Step 6: Final answer
    x = 101,077.12

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.