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Finding the Third Proportional to 89,959 and 132,021.75

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Solution

The third proportional to 89,959 and 132,021.75 is: 193,752.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,959 : 132,021.75 = 132,021.75 : x
  2. Step 2: Convert to fraction form
    89,959/132,021.75 = 132,021.75/x
  3. Step 3: Cross multiply
    89,959x = 132,021.75 × 132,021.75
  4. Step 4: Simplify right side
    89,959x = 17,429,742,473.06
  5. Step 5: Solve for x
    x = 17,429,742,473.06/89,959
  6. Step 6: Final answer
    x = 193,752.07

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Why These Related Problems?

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