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Finding the Third Proportional to 32,102 and 77,337

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Solution

The third proportional to 32,102 and 77,337 is: 186,312.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,102 : 77,337 = 77,337 : x
  2. Step 2: Convert to fraction form
    32,102/77,337 = 77,337/x
  3. Step 3: Cross multiply
    32,102x = 77,337 × 77,337
  4. Step 4: Simplify right side
    32,102x = 5,981,011,569
  5. Step 5: Solve for x
    x = 5,981,011,569/32,102
  6. Step 6: Final answer
    x = 186,312.74

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.