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Finding the Third Proportional to 39,222 and 84,060

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Solution

The third proportional to 39,222 and 84,060 is: 180,156.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,222 : 84,060 = 84,060 : x
  2. Step 2: Convert to fraction form
    39,222/84,060 = 84,060/x
  3. Step 3: Cross multiply
    39,222x = 84,060 × 84,060
  4. Step 4: Simplify right side
    39,222x = 7,066,083,600
  5. Step 5: Solve for x
    x = 7,066,083,600/39,222
  6. Step 6: Final answer
    x = 180,156.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.