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Finding the Third Proportional to 76,240 and 108,924

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Solution

The third proportional to 76,240 and 108,924 is: 155,619.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,240 : 108,924 = 108,924 : x
  2. Step 2: Convert to fraction form
    76,240/108,924 = 108,924/x
  3. Step 3: Cross multiply
    76,240x = 108,924 × 108,924
  4. Step 4: Simplify right side
    76,240x = 11,864,437,776
  5. Step 5: Solve for x
    x = 11,864,437,776/76,240
  6. Step 6: Final answer
    x = 155,619.59

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.