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Finding the Third Proportional to 42,262.31 and 65,405.53

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Solution

The third proportional to 42,262.31 and 65,405.53 is: 101,222.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,262.31 : 65,405.53 = 65,405.53 : x
  2. Step 2: Convert to fraction form
    42,262.31/65,405.53 = 65,405.53/x
  3. Step 3: Cross multiply
    42,262.31x = 65,405.53 × 65,405.53
  4. Step 4: Simplify right side
    42,262.31x = 4,277,883,518.09
  5. Step 5: Solve for x
    x = 4,277,883,518.09/42,262.31
  6. Step 6: Final answer
    x = 101,222.18

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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.