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Finding the Third Proportional to 82,929 and 124,479

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Solution

The third proportional to 82,929 and 124,479 is: 186,846.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,929 : 124,479 = 124,479 : x
  2. Step 2: Convert to fraction form
    82,929/124,479 = 124,479/x
  3. Step 3: Cross multiply
    82,929x = 124,479 × 124,479
  4. Step 4: Simplify right side
    82,929x = 15,495,021,441
  5. Step 5: Solve for x
    x = 15,495,021,441/82,929
  6. Step 6: Final answer
    x = 186,846.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.