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Finding the Third Proportional to 58,013 and 122,890

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Solution

The third proportional to 58,013 and 122,890 is: 260,320.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,013 : 122,890 = 122,890 : x
  2. Step 2: Convert to fraction form
    58,013/122,890 = 122,890/x
  3. Step 3: Cross multiply
    58,013x = 122,890 × 122,890
  4. Step 4: Simplify right side
    58,013x = 15,101,952,100
  5. Step 5: Solve for x
    x = 15,101,952,100/58,013
  6. Step 6: Final answer
    x = 260,320.14

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.