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Finding the Third Proportional to 66,233 and 93,031

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Solution

The third proportional to 66,233 and 93,031 is: 130,671.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,233 : 93,031 = 93,031 : x
  2. Step 2: Convert to fraction form
    66,233/93,031 = 93,031/x
  3. Step 3: Cross multiply
    66,233x = 93,031 × 93,031
  4. Step 4: Simplify right side
    66,233x = 8,654,766,961
  5. Step 5: Solve for x
    x = 8,654,766,961/66,233
  6. Step 6: Final answer
    x = 130,671.52

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.