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Finding the Third Proportional to 67,855 and 99,754

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Solution

The third proportional to 67,855 and 99,754 is: 146,648.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,855 : 99,754 = 99,754 : x
  2. Step 2: Convert to fraction form
    67,855/99,754 = 99,754/x
  3. Step 3: Cross multiply
    67,855x = 99,754 × 99,754
  4. Step 4: Simplify right side
    67,855x = 9,950,860,516
  5. Step 5: Solve for x
    x = 9,950,860,516/67,855
  6. Step 6: Final answer
    x = 146,648.89

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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.