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Finding the Third Proportional to 89,444.25 and 121,044.38

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Solution

The third proportional to 89,444.25 and 121,044.38 is: 163,808.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,444.25 : 121,044.38 = 121,044.38 : x
  2. Step 2: Convert to fraction form
    89,444.25/121,044.38 = 121,044.38/x
  3. Step 3: Cross multiply
    89,444.25x = 121,044.38 × 121,044.38
  4. Step 4: Simplify right side
    89,444.25x = 14,651,740,719.14
  5. Step 5: Solve for x
    x = 14,651,740,719.14/89,444.25
  6. Step 6: Final answer
    x = 163,808.64

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