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Finding the Third Proportional to 97,202 and 140,475

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Solution

The third proportional to 97,202 and 140,475 is: 203,012.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,202 : 140,475 = 140,475 : x
  2. Step 2: Convert to fraction form
    97,202/140,475 = 140,475/x
  3. Step 3: Cross multiply
    97,202x = 140,475 × 140,475
  4. Step 4: Simplify right side
    97,202x = 19,733,225,625
  5. Step 5: Solve for x
    x = 19,733,225,625/97,202
  6. Step 6: Final answer
    x = 203,012.55

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.