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Finding the Third Proportional to 72,472 and 157,006

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Solution

The third proportional to 72,472 and 157,006 is: 340,143.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,472 : 157,006 = 157,006 : x
  2. Step 2: Convert to fraction form
    72,472/157,006 = 157,006/x
  3. Step 3: Cross multiply
    72,472x = 157,006 × 157,006
  4. Step 4: Simplify right side
    72,472x = 24,650,884,036
  5. Step 5: Solve for x
    x = 24,650,884,036/72,472
  6. Step 6: Final answer
    x = 340,143.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.