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Finding the Third Proportional to 39,123 and 62,226

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Solution

The third proportional to 39,123 and 62,226 is: 98,971.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,123 : 62,226 = 62,226 : x
  2. Step 2: Convert to fraction form
    39,123/62,226 = 62,226/x
  3. Step 3: Cross multiply
    39,123x = 62,226 × 62,226
  4. Step 4: Simplify right side
    39,123x = 3,872,075,076
  5. Step 5: Solve for x
    x = 3,872,075,076/39,123
  6. Step 6: Final answer
    x = 98,971.83

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.