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Finding the Third Proportional to 58,116 and 123,099

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Solution

The third proportional to 58,116 and 123,099 is: 260,743.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,116 : 123,099 = 123,099 : x
  2. Step 2: Convert to fraction form
    58,116/123,099 = 123,099/x
  3. Step 3: Cross multiply
    58,116x = 123,099 × 123,099
  4. Step 4: Simplify right side
    58,116x = 15,153,363,801
  5. Step 5: Solve for x
    x = 15,153,363,801/58,116
  6. Step 6: Final answer
    x = 260,743.41

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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.