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Finding the Third Proportional to 83,402 and 122,896

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Solution

The third proportional to 83,402 and 122,896 is: 181,091.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,402 : 122,896 = 122,896 : x
  2. Step 2: Convert to fraction form
    83,402/122,896 = 122,896/x
  3. Step 3: Cross multiply
    83,402x = 122,896 × 122,896
  4. Step 4: Simplify right side
    83,402x = 15,103,426,816
  5. Step 5: Solve for x
    x = 15,103,426,816/83,402
  6. Step 6: Final answer
    x = 181,091.90

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.