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Finding the Third Proportional to 76,952 and 168,124

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Solution

The third proportional to 76,952 and 168,124 is: 367,315.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,952 : 168,124 = 168,124 : x
  2. Step 2: Convert to fraction form
    76,952/168,124 = 168,124/x
  3. Step 3: Cross multiply
    76,952x = 168,124 × 168,124
  4. Step 4: Simplify right side
    76,952x = 28,265,679,376
  5. Step 5: Solve for x
    x = 28,265,679,376/76,952
  6. Step 6: Final answer
    x = 367,315.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.