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Finding the Third Proportional to 62,989 and 88,063

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Solution

The third proportional to 62,989 and 88,063 is: 123,118.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,989 : 88,063 = 88,063 : x
  2. Step 2: Convert to fraction form
    62,989/88,063 = 88,063/x
  3. Step 3: Cross multiply
    62,989x = 88,063 × 88,063
  4. Step 4: Simplify right side
    62,989x = 7,755,091,969
  5. Step 5: Solve for x
    x = 7,755,091,969/62,989
  6. Step 6: Final answer
    x = 123,118.19

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.