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Finding the Third Proportional to 67,308 and 99,234

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Solution

The third proportional to 67,308 and 99,234 is: 146,303.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,308 : 99,234 = 99,234 : x
  2. Step 2: Convert to fraction form
    67,308/99,234 = 99,234/x
  3. Step 3: Cross multiply
    67,308x = 99,234 × 99,234
  4. Step 4: Simplify right side
    67,308x = 9,847,386,756
  5. Step 5: Solve for x
    x = 9,847,386,756/67,308
  6. Step 6: Final answer
    x = 146,303.36

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.