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Finding the Third Proportional to 77,182 and 168,332

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Solution

The third proportional to 77,182 and 168,332 is: 367,127.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,182 : 168,332 = 168,332 : x
  2. Step 2: Convert to fraction form
    77,182/168,332 = 168,332/x
  3. Step 3: Cross multiply
    77,182x = 168,332 × 168,332
  4. Step 4: Simplify right side
    77,182x = 28,335,662,224
  5. Step 5: Solve for x
    x = 28,335,662,224/77,182
  6. Step 6: Final answer
    x = 367,127.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.