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Finding the Third Proportional to 66,580 and 101,233

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Solution

The third proportional to 66,580 and 101,233 is: 153,921.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,580 : 101,233 = 101,233 : x
  2. Step 2: Convert to fraction form
    66,580/101,233 = 101,233/x
  3. Step 3: Cross multiply
    66,580x = 101,233 × 101,233
  4. Step 4: Simplify right side
    66,580x = 10,248,120,289
  5. Step 5: Solve for x
    x = 10,248,120,289/66,580
  6. Step 6: Final answer
    x = 153,921.90

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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.