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Finding the Third Proportional to 58,000 and 123,108

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Solution

The third proportional to 58,000 and 123,108 is: 261,303.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,000 : 123,108 = 123,108 : x
  2. Step 2: Convert to fraction form
    58,000/123,108 = 123,108/x
  3. Step 3: Cross multiply
    58,000x = 123,108 × 123,108
  4. Step 4: Simplify right side
    58,000x = 15,155,579,664
  5. Step 5: Solve for x
    x = 15,155,579,664/58,000
  6. Step 6: Final answer
    x = 261,303.10

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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.