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Finding the Third Proportional to 72,724 and 152,068

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Solution

The third proportional to 72,724 and 152,068 is: 317,978.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,724 : 152,068 = 152,068 : x
  2. Step 2: Convert to fraction form
    72,724/152,068 = 152,068/x
  3. Step 3: Cross multiply
    72,724x = 152,068 × 152,068
  4. Step 4: Simplify right side
    72,724x = 23,124,676,624
  5. Step 5: Solve for x
    x = 23,124,676,624/72,724
  6. Step 6: Final answer
    x = 317,978.61

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.