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Finding the Third Proportional to 72,916 and 157,214

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Solution

The third proportional to 72,916 and 157,214 is: 338,968.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,916 : 157,214 = 157,214 : x
  2. Step 2: Convert to fraction form
    72,916/157,214 = 157,214/x
  3. Step 3: Cross multiply
    72,916x = 157,214 × 157,214
  4. Step 4: Simplify right side
    72,916x = 24,716,241,796
  5. Step 5: Solve for x
    x = 24,716,241,796/72,916
  6. Step 6: Final answer
    x = 338,968.70

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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.