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Finding the Third Proportional to 88,498 and 140,202

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Solution

The third proportional to 88,498 and 140,202 is: 222,113.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,498 : 140,202 = 140,202 : x
  2. Step 2: Convert to fraction form
    88,498/140,202 = 140,202/x
  3. Step 3: Cross multiply
    88,498x = 140,202 × 140,202
  4. Step 4: Simplify right side
    88,498x = 19,656,600,804
  5. Step 5: Solve for x
    x = 19,656,600,804/88,498
  6. Step 6: Final answer
    x = 222,113.50

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.