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Finding the Third Proportional to 72,062 and 106,229

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Solution

The third proportional to 72,062 and 106,229 is: 156,595.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,062 : 106,229 = 106,229 : x
  2. Step 2: Convert to fraction form
    72,062/106,229 = 106,229/x
  3. Step 3: Cross multiply
    72,062x = 106,229 × 106,229
  4. Step 4: Simplify right side
    72,062x = 11,284,600,441
  5. Step 5: Solve for x
    x = 11,284,600,441/72,062
  6. Step 6: Final answer
    x = 156,595.72

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.