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Finding the Third Proportional to 72,802 and 157,988

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Solution

The third proportional to 72,802 and 157,988 is: 342,850.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,802 : 157,988 = 157,988 : x
  2. Step 2: Convert to fraction form
    72,802/157,988 = 157,988/x
  3. Step 3: Cross multiply
    72,802x = 157,988 × 157,988
  4. Step 4: Simplify right side
    72,802x = 24,960,208,144
  5. Step 5: Solve for x
    x = 24,960,208,144/72,802
  6. Step 6: Final answer
    x = 342,850.58

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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.