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Finding the Third Proportional to 73,096 and 157,280

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Solution

The third proportional to 73,096 and 157,280 is: 338,417.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,096 : 157,280 = 157,280 : x
  2. Step 2: Convert to fraction form
    73,096/157,280 = 157,280/x
  3. Step 3: Cross multiply
    73,096x = 157,280 × 157,280
  4. Step 4: Simplify right side
    73,096x = 24,736,998,400
  5. Step 5: Solve for x
    x = 24,736,998,400/73,096
  6. Step 6: Final answer
    x = 338,417.95

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.