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Finding the Third Proportional to 63,698 and 89,091

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Solution

The third proportional to 63,698 and 89,091 is: 124,606.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,698 : 89,091 = 89,091 : x
  2. Step 2: Convert to fraction form
    63,698/89,091 = 89,091/x
  3. Step 3: Cross multiply
    63,698x = 89,091 × 89,091
  4. Step 4: Simplify right side
    63,698x = 7,937,206,281
  5. Step 5: Solve for x
    x = 7,937,206,281/63,698
  6. Step 6: Final answer
    x = 124,606.84

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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.