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Finding the Third Proportional to 97,168 and 146,432

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Solution

The third proportional to 97,168 and 146,432 is: 220,672.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,168 : 146,432 = 146,432 : x
  2. Step 2: Convert to fraction form
    97,168/146,432 = 146,432/x
  3. Step 3: Cross multiply
    97,168x = 146,432 × 146,432
  4. Step 4: Simplify right side
    97,168x = 21,442,330,624
  5. Step 5: Solve for x
    x = 21,442,330,624/97,168
  6. Step 6: Final answer
    x = 220,672.76

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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.