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Finding the Third Proportional to 71,208 and 106,560

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Solution

The third proportional to 71,208 and 106,560 is: 159,462.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,208 : 106,560 = 106,560 : x
  2. Step 2: Convert to fraction form
    71,208/106,560 = 106,560/x
  3. Step 3: Cross multiply
    71,208x = 106,560 × 106,560
  4. Step 4: Simplify right side
    71,208x = 11,355,033,600
  5. Step 5: Solve for x
    x = 11,355,033,600/71,208
  6. Step 6: Final answer
    x = 159,462.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.