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Finding the Third Proportional to 42,246.56 and 65,392.31

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Solution

The third proportional to 42,246.56 and 65,392.31 is: 101,218.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,246.56 : 65,392.31 = 65,392.31 : x
  2. Step 2: Convert to fraction form
    42,246.56/65,392.31 = 65,392.31/x
  3. Step 3: Cross multiply
    42,246.56x = 65,392.31 × 65,392.31
  4. Step 4: Simplify right side
    42,246.56x = 4,276,154,534.10
  5. Step 5: Solve for x
    x = 4,276,154,534.10/42,246.56
  6. Step 6: Final answer
    x = 101,218.99

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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.