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Finding the Third Proportional to 72,413 and 101,163

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Solution

The third proportional to 72,413 and 101,163 is: 141,327.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,413 : 101,163 = 101,163 : x
  2. Step 2: Convert to fraction form
    72,413/101,163 = 101,163/x
  3. Step 3: Cross multiply
    72,413x = 101,163 × 101,163
  4. Step 4: Simplify right side
    72,413x = 10,233,952,569
  5. Step 5: Solve for x
    x = 10,233,952,569/72,413
  6. Step 6: Final answer
    x = 141,327.56

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.