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Finding the Third Proportional to 84,292 and 123,324

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Solution

The third proportional to 84,292 and 123,324 is: 180,430.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,292 : 123,324 = 123,324 : x
  2. Step 2: Convert to fraction form
    84,292/123,324 = 123,324/x
  3. Step 3: Cross multiply
    84,292x = 123,324 × 123,324
  4. Step 4: Simplify right side
    84,292x = 15,208,808,976
  5. Step 5: Solve for x
    x = 15,208,808,976/84,292
  6. Step 6: Final answer
    x = 180,430.04

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.