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Finding the Third Proportional to 39,143 and 60,623

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Solution

The third proportional to 39,143 and 60,623 is: 93,890.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,143 : 60,623 = 60,623 : x
  2. Step 2: Convert to fraction form
    39,143/60,623 = 60,623/x
  3. Step 3: Cross multiply
    39,143x = 60,623 × 60,623
  4. Step 4: Simplify right side
    39,143x = 3,675,148,129
  5. Step 5: Solve for x
    x = 3,675,148,129/39,143
  6. Step 6: Final answer
    x = 93,890.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.