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Finding the Third Proportional to 66,830 and 88,337

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Solution

The third proportional to 66,830 and 88,337 is: 116,765.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,830 : 88,337 = 88,337 : x
  2. Step 2: Convert to fraction form
    66,830/88,337 = 88,337/x
  3. Step 3: Cross multiply
    66,830x = 88,337 × 88,337
  4. Step 4: Simplify right side
    66,830x = 7,803,425,569
  5. Step 5: Solve for x
    x = 7,803,425,569/66,830
  6. Step 6: Final answer
    x = 116,765.31

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.