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Finding the Third Proportional to 89,215 and 121,104.50

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Solution

The third proportional to 89,215 and 121,104.50 is: 164,392.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,215 : 121,104.50 = 121,104.50 : x
  2. Step 2: Convert to fraction form
    89,215/121,104.50 = 121,104.50/x
  3. Step 3: Cross multiply
    89,215x = 121,104.50 × 121,104.50
  4. Step 4: Simplify right side
    89,215x = 14,666,299,920.25
  5. Step 5: Solve for x
    x = 14,666,299,920.25/89,215
  6. Step 6: Final answer
    x = 164,392.76

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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.