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Finding the Third Proportional to 89,437.75 and 121,034.63

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Solution

The third proportional to 89,437.75 and 121,034.63 is: 163,794.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,437.75 : 121,034.63 = 121,034.63 : x
  2. Step 2: Convert to fraction form
    89,437.75/121,034.63 = 121,034.63/x
  3. Step 3: Cross multiply
    89,437.75x = 121,034.63 × 121,034.63
  4. Step 4: Simplify right side
    89,437.75x = 14,649,380,448.89
  5. Step 5: Solve for x
    x = 14,649,380,448.89/89,437.75
  6. Step 6: Final answer
    x = 163,794.15

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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.