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Finding the Third Proportional to 42,713.13 and 65,123.25

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Solution

The third proportional to 42,713.13 and 65,123.25 is: 99,291.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,713.13 : 65,123.25 = 65,123.25 : x
  2. Step 2: Convert to fraction form
    42,713.13/65,123.25 = 65,123.25/x
  3. Step 3: Cross multiply
    42,713.13x = 65,123.25 × 65,123.25
  4. Step 4: Simplify right side
    42,713.13x = 4,241,037,690.56
  5. Step 5: Solve for x
    x = 4,241,037,690.56/42,713.13
  6. Step 6: Final answer
    x = 99,291.21

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.