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Finding the Third Proportional to 101,739 and 217,552.50

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Solution

The third proportional to 101,739 and 217,552.50 is: 465,201.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,739 : 217,552.50 = 217,552.50 : x
  2. Step 2: Convert to fraction form
    101,739/217,552.50 = 217,552.50/x
  3. Step 3: Cross multiply
    101,739x = 217,552.50 × 217,552.50
  4. Step 4: Simplify right side
    101,739x = 47,329,090,256.25
  5. Step 5: Solve for x
    x = 47,329,090,256.25/101,739
  6. Step 6: Final answer
    x = 465,201.06

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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.