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Finding the Third Proportional to 63,958 and 89,461

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Solution

The third proportional to 63,958 and 89,461 is: 125,133.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,958 : 89,461 = 89,461 : x
  2. Step 2: Convert to fraction form
    63,958/89,461 = 89,461/x
  3. Step 3: Cross multiply
    63,958x = 89,461 × 89,461
  4. Step 4: Simplify right side
    63,958x = 8,003,270,521
  5. Step 5: Solve for x
    x = 8,003,270,521/63,958
  6. Step 6: Final answer
    x = 125,133.22

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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.