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Finding the Third Proportional to 42,262.69 and 65,406.19

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Solution

The third proportional to 42,262.69 and 65,406.19 is: 101,223.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,262.69 : 65,406.19 = 65,406.19 : x
  2. Step 2: Convert to fraction form
    42,262.69/65,406.19 = 65,406.19/x
  3. Step 3: Cross multiply
    42,262.69x = 65,406.19 × 65,406.19
  4. Step 4: Simplify right side
    42,262.69x = 4,277,969,363.29
  5. Step 5: Solve for x
    x = 4,277,969,363.29/42,262.69
  6. Step 6: Final answer
    x = 101,223.32

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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.