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Finding the Third Proportional to 78,937 and 169,132

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Solution

The third proportional to 78,937 and 169,132 is: 362,385.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,937 : 169,132 = 169,132 : x
  2. Step 2: Convert to fraction form
    78,937/169,132 = 169,132/x
  3. Step 3: Cross multiply
    78,937x = 169,132 × 169,132
  4. Step 4: Simplify right side
    78,937x = 28,605,633,424
  5. Step 5: Solve for x
    x = 28,605,633,424/78,937
  6. Step 6: Final answer
    x = 362,385.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.