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Finding the Third Proportional to 63,980 and 101,233

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Solution

The third proportional to 63,980 and 101,233 is: 160,176.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,980 : 101,233 = 101,233 : x
  2. Step 2: Convert to fraction form
    63,980/101,233 = 101,233/x
  3. Step 3: Cross multiply
    63,980x = 101,233 × 101,233
  4. Step 4: Simplify right side
    63,980x = 10,248,120,289
  5. Step 5: Solve for x
    x = 10,248,120,289/63,980
  6. Step 6: Final answer
    x = 160,176.93

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.