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Finding the Third Proportional to 97,062 and 146,277

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Solution

The third proportional to 97,062 and 146,277 is: 220,446.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,062 : 146,277 = 146,277 : x
  2. Step 2: Convert to fraction form
    97,062/146,277 = 146,277/x
  3. Step 3: Cross multiply
    97,062x = 146,277 × 146,277
  4. Step 4: Simplify right side
    97,062x = 21,396,960,729
  5. Step 5: Solve for x
    x = 21,396,960,729/97,062
  6. Step 6: Final answer
    x = 220,446.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.