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Finding the Third Proportional to 122,572 and 168,788

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Solution

The third proportional to 122,572 and 168,788 is: 232,429.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,572 : 168,788 = 168,788 : x
  2. Step 2: Convert to fraction form
    122,572/168,788 = 168,788/x
  3. Step 3: Cross multiply
    122,572x = 168,788 × 168,788
  4. Step 4: Simplify right side
    122,572x = 28,489,388,944
  5. Step 5: Solve for x
    x = 28,489,388,944/122,572
  6. Step 6: Final answer
    x = 232,429.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.