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Finding the Third Proportional to 97,164 and 147,762

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Solution

The third proportional to 97,164 and 147,762 is: 224,708.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,164 : 147,762 = 147,762 : x
  2. Step 2: Convert to fraction form
    97,164/147,762 = 147,762/x
  3. Step 3: Cross multiply
    97,164x = 147,762 × 147,762
  4. Step 4: Simplify right side
    97,164x = 21,833,608,644
  5. Step 5: Solve for x
    x = 21,833,608,644/97,164
  6. Step 6: Final answer
    x = 224,708.83

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.