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Finding the Third Proportional to 42,363 and 65,809.13

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Solution

The third proportional to 42,363 and 65,809.13 is: 102,231.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,363 : 65,809.13 = 65,809.13 : x
  2. Step 2: Convert to fraction form
    42,363/65,809.13 = 65,809.13/x
  3. Step 3: Cross multiply
    42,363x = 65,809.13 × 65,809.13
  4. Step 4: Simplify right side
    42,363x = 4,330,840,933.27
  5. Step 5: Solve for x
    x = 4,330,840,933.27/42,363
  6. Step 6: Final answer
    x = 102,231.69

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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.