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Finding the Third Proportional to 76,348 and 157,892

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Solution

The third proportional to 76,348 and 157,892 is: 326,529.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,348 : 157,892 = 157,892 : x
  2. Step 2: Convert to fraction form
    76,348/157,892 = 157,892/x
  3. Step 3: Cross multiply
    76,348x = 157,892 × 157,892
  4. Step 4: Simplify right side
    76,348x = 24,929,883,664
  5. Step 5: Solve for x
    x = 24,929,883,664/76,348
  6. Step 6: Final answer
    x = 326,529.62

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.