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Finding the Third Proportional to 67,000 and 145,664

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Solution

The third proportional to 67,000 and 145,664 is: 316,686.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,000 : 145,664 = 145,664 : x
  2. Step 2: Convert to fraction form
    67,000/145,664 = 145,664/x
  3. Step 3: Cross multiply
    67,000x = 145,664 × 145,664
  4. Step 4: Simplify right side
    67,000x = 21,218,000,896
  5. Step 5: Solve for x
    x = 21,218,000,896/67,000
  6. Step 6: Final answer
    x = 316,686.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.