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Finding the Third Proportional to 71,440 and 152,722

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Solution

The third proportional to 71,440 and 152,722 is: 326,483.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,440 : 152,722 = 152,722 : x
  2. Step 2: Convert to fraction form
    71,440/152,722 = 152,722/x
  3. Step 3: Cross multiply
    71,440x = 152,722 × 152,722
  4. Step 4: Simplify right side
    71,440x = 23,324,009,284
  5. Step 5: Solve for x
    x = 23,324,009,284/71,440
  6. Step 6: Final answer
    x = 326,483.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.