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Finding the Third Proportional to 72,915 and 159,006

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Solution

The third proportional to 72,915 and 159,006 is: 346,744.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,915 : 159,006 = 159,006 : x
  2. Step 2: Convert to fraction form
    72,915/159,006 = 159,006/x
  3. Step 3: Cross multiply
    72,915x = 159,006 × 159,006
  4. Step 4: Simplify right side
    72,915x = 25,282,908,036
  5. Step 5: Solve for x
    x = 25,282,908,036/72,915
  6. Step 6: Final answer
    x = 346,744.95

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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.