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Finding the Third Proportional to 42,771 and 93,306

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Solution

The third proportional to 42,771 and 93,306 is: 203,549.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,771 : 93,306 = 93,306 : x
  2. Step 2: Convert to fraction form
    42,771/93,306 = 93,306/x
  3. Step 3: Cross multiply
    42,771x = 93,306 × 93,306
  4. Step 4: Simplify right side
    42,771x = 8,706,009,636
  5. Step 5: Solve for x
    x = 8,706,009,636/42,771
  6. Step 6: Final answer
    x = 203,549.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.