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Finding the Third Proportional to 100,248 and 140,160

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Solution

The third proportional to 100,248 and 140,160 is: 195,962.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,248 : 140,160 = 140,160 : x
  2. Step 2: Convert to fraction form
    100,248/140,160 = 140,160/x
  3. Step 3: Cross multiply
    100,248x = 140,160 × 140,160
  4. Step 4: Simplify right side
    100,248x = 19,644,825,600
  5. Step 5: Solve for x
    x = 19,644,825,600/100,248
  6. Step 6: Final answer
    x = 195,962.27

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.