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Finding the Third Proportional to 84,050 and 179,332

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Solution

The third proportional to 84,050 and 179,332 is: 382,628.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,050 : 179,332 = 179,332 : x
  2. Step 2: Convert to fraction form
    84,050/179,332 = 179,332/x
  3. Step 3: Cross multiply
    84,050x = 179,332 × 179,332
  4. Step 4: Simplify right side
    84,050x = 32,159,966,224
  5. Step 5: Solve for x
    x = 32,159,966,224/84,050
  6. Step 6: Final answer
    x = 382,628.99

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.