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Finding the Third Proportional to 32,276 and 75,434

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Solution

The third proportional to 32,276 and 75,434 is: 176,300.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,276 : 75,434 = 75,434 : x
  2. Step 2: Convert to fraction form
    32,276/75,434 = 75,434/x
  3. Step 3: Cross multiply
    32,276x = 75,434 × 75,434
  4. Step 4: Simplify right side
    32,276x = 5,690,288,356
  5. Step 5: Solve for x
    x = 5,690,288,356/32,276
  6. Step 6: Final answer
    x = 176,300.92

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.