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Finding the Third Proportional to 59,890 and 93,109

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Solution

The third proportional to 59,890 and 93,109 is: 144,753.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,890 : 93,109 = 93,109 : x
  2. Step 2: Convert to fraction form
    59,890/93,109 = 93,109/x
  3. Step 3: Cross multiply
    59,890x = 93,109 × 93,109
  4. Step 4: Simplify right side
    59,890x = 8,669,285,881
  5. Step 5: Solve for x
    x = 8,669,285,881/59,890
  6. Step 6: Final answer
    x = 144,753.48

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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.