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Finding the Third Proportional to 76,501 and 126,424

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Solution

The third proportional to 76,501 and 126,424 is: 208,925.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,501 : 126,424 = 126,424 : x
  2. Step 2: Convert to fraction form
    76,501/126,424 = 126,424/x
  3. Step 3: Cross multiply
    76,501x = 126,424 × 126,424
  4. Step 4: Simplify right side
    76,501x = 15,983,027,776
  5. Step 5: Solve for x
    x = 15,983,027,776/76,501
  6. Step 6: Final answer
    x = 208,925.74

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.