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Finding the Third Proportional to 112,298.06 and 165,152.25

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Solution

The third proportional to 112,298.06 and 165,152.25 is: 242,882.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,298.06 : 165,152.25 = 165,152.25 : x
  2. Step 2: Convert to fraction form
    112,298.06/165,152.25 = 165,152.25/x
  3. Step 3: Cross multiply
    112,298.06x = 165,152.25 × 165,152.25
  4. Step 4: Simplify right side
    112,298.06x = 27,275,265,680.06
  5. Step 5: Solve for x
    x = 27,275,265,680.06/112,298.06
  6. Step 6: Final answer
    x = 242,882.78

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.