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Finding the Third Proportional to 68,202 and 148,069

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Solution

The third proportional to 68,202 and 148,069 is: 321,463.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,202 : 148,069 = 148,069 : x
  2. Step 2: Convert to fraction form
    68,202/148,069 = 148,069/x
  3. Step 3: Cross multiply
    68,202x = 148,069 × 148,069
  4. Step 4: Simplify right side
    68,202x = 21,924,428,761
  5. Step 5: Solve for x
    x = 21,924,428,761/68,202
  6. Step 6: Final answer
    x = 321,463.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.