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Finding the Third Proportional to 76,745 and 157,294

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Solution

The third proportional to 76,745 and 157,294 is: 322,384.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,745 : 157,294 = 157,294 : x
  2. Step 2: Convert to fraction form
    76,745/157,294 = 157,294/x
  3. Step 3: Cross multiply
    76,745x = 157,294 × 157,294
  4. Step 4: Simplify right side
    76,745x = 24,741,402,436
  5. Step 5: Solve for x
    x = 24,741,402,436/76,745
  6. Step 6: Final answer
    x = 322,384.55

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.