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Finding the Third Proportional to 76,862 and 179,528

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Solution

The third proportional to 76,862 and 179,528 is: 419,326.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,862 : 179,528 = 179,528 : x
  2. Step 2: Convert to fraction form
    76,862/179,528 = 179,528/x
  3. Step 3: Cross multiply
    76,862x = 179,528 × 179,528
  4. Step 4: Simplify right side
    76,862x = 32,230,302,784
  5. Step 5: Solve for x
    x = 32,230,302,784/76,862
  6. Step 6: Final answer
    x = 419,326.88

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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.