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Finding the Third Proportional to 72,882 and 157,248

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Solution

The third proportional to 72,882 and 157,248 is: 339,273.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,882 : 157,248 = 157,248 : x
  2. Step 2: Convert to fraction form
    72,882/157,248 = 157,248/x
  3. Step 3: Cross multiply
    72,882x = 157,248 × 157,248
  4. Step 4: Simplify right side
    72,882x = 24,726,933,504
  5. Step 5: Solve for x
    x = 24,726,933,504/72,882
  6. Step 6: Final answer
    x = 339,273.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.