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Finding the Third Proportional to 59,201 and 92,013

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Solution

The third proportional to 59,201 and 92,013 is: 143,010.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,201 : 92,013 = 92,013 : x
  2. Step 2: Convert to fraction form
    59,201/92,013 = 92,013/x
  3. Step 3: Cross multiply
    59,201x = 92,013 × 92,013
  4. Step 4: Simplify right side
    59,201x = 8,466,392,169
  5. Step 5: Solve for x
    x = 8,466,392,169/59,201
  6. Step 6: Final answer
    x = 143,010.97

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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.