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Finding the Third Proportional to 67,000 and 99,752

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Solution

The third proportional to 67,000 and 99,752 is: 148,514.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,000 : 99,752 = 99,752 : x
  2. Step 2: Convert to fraction form
    67,000/99,752 = 99,752/x
  3. Step 3: Cross multiply
    67,000x = 99,752 × 99,752
  4. Step 4: Simplify right side
    67,000x = 9,950,461,504
  5. Step 5: Solve for x
    x = 9,950,461,504/67,000
  6. Step 6: Final answer
    x = 148,514.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.