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Finding the Third Proportional to 67,664 and 103,089

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Solution

The third proportional to 67,664 and 103,089 is: 157,060.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,664 : 103,089 = 103,089 : x
  2. Step 2: Convert to fraction form
    67,664/103,089 = 103,089/x
  3. Step 3: Cross multiply
    67,664x = 103,089 × 103,089
  4. Step 4: Simplify right side
    67,664x = 10,627,341,921
  5. Step 5: Solve for x
    x = 10,627,341,921/67,664
  6. Step 6: Final answer
    x = 157,060.50

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.