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Finding the Third Proportional to 63,736 and 89,146

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Solution

The third proportional to 63,736 and 89,146 is: 124,686.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,736 : 89,146 = 89,146 : x
  2. Step 2: Convert to fraction form
    63,736/89,146 = 89,146/x
  3. Step 3: Cross multiply
    63,736x = 89,146 × 89,146
  4. Step 4: Simplify right side
    63,736x = 7,947,009,316
  5. Step 5: Solve for x
    x = 7,947,009,316/63,736
  6. Step 6: Final answer
    x = 124,686.35

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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.