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Finding the Third Proportional to 89,402 and 123,943

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Solution

The third proportional to 89,402 and 123,943 is: 171,829.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,402 : 123,943 = 123,943 : x
  2. Step 2: Convert to fraction form
    89,402/123,943 = 123,943/x
  3. Step 3: Cross multiply
    89,402x = 123,943 × 123,943
  4. Step 4: Simplify right side
    89,402x = 15,361,867,249
  5. Step 5: Solve for x
    x = 15,361,867,249/89,402
  6. Step 6: Final answer
    x = 171,829.12

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.