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Finding the Third Proportional to 42,717 and 99,804

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Solution

The third proportional to 42,717 and 99,804 is: 233,182.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,717 : 99,804 = 99,804 : x
  2. Step 2: Convert to fraction form
    42,717/99,804 = 99,804/x
  3. Step 3: Cross multiply
    42,717x = 99,804 × 99,804
  4. Step 4: Simplify right side
    42,717x = 9,960,838,416
  5. Step 5: Solve for x
    x = 9,960,838,416/42,717
  6. Step 6: Final answer
    x = 233,182.07

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.