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Finding the Third Proportional to 89,518.50 and 121,146.75

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Solution

The third proportional to 89,518.50 and 121,146.75 is: 163,949.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,518.50 : 121,146.75 = 121,146.75 : x
  2. Step 2: Convert to fraction form
    89,518.50/121,146.75 = 121,146.75/x
  3. Step 3: Cross multiply
    89,518.50x = 121,146.75 × 121,146.75
  4. Step 4: Simplify right side
    89,518.50x = 14,676,535,035.56
  5. Step 5: Solve for x
    x = 14,676,535,035.56/89,518.50
  6. Step 6: Final answer
    x = 163,949.74

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.