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Finding the Third Proportional to 71,302.50 and 151,781

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Solution

The third proportional to 71,302.50 and 151,781 is: 323,094.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,302.50 : 151,781 = 151,781 : x
  2. Step 2: Convert to fraction form
    71,302.50/151,781 = 151,781/x
  3. Step 3: Cross multiply
    71,302.50x = 151,781 × 151,781
  4. Step 4: Simplify right side
    71,302.50x = 23,037,471,961
  5. Step 5: Solve for x
    x = 23,037,471,961/71,302.50
  6. Step 6: Final answer
    x = 323,094.87

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.