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Finding the Third Proportional to 66,015 and 89,689.50

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Solution

The third proportional to 66,015 and 89,689.50 is: 121,854.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,015 : 89,689.50 = 89,689.50 : x
  2. Step 2: Convert to fraction form
    66,015/89,689.50 = 89,689.50/x
  3. Step 3: Cross multiply
    66,015x = 89,689.50 × 89,689.50
  4. Step 4: Simplify right side
    66,015x = 8,044,206,410.25
  5. Step 5: Solve for x
    x = 8,044,206,410.25/66,015
  6. Step 6: Final answer
    x = 121,854.22

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.