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Finding the Third Proportional to 96,216 and 140,600

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Solution

The third proportional to 96,216 and 140,600 is: 205,458.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,216 : 140,600 = 140,600 : x
  2. Step 2: Convert to fraction form
    96,216/140,600 = 140,600/x
  3. Step 3: Cross multiply
    96,216x = 140,600 × 140,600
  4. Step 4: Simplify right side
    96,216x = 19,768,360,000
  5. Step 5: Solve for x
    x = 19,768,360,000/96,216
  6. Step 6: Final answer
    x = 205,458.14

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.