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Finding the Third Proportional to 92,201 and 187,784

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Solution

The third proportional to 92,201 and 187,784 is: 382,456.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,201 : 187,784 = 187,784 : x
  2. Step 2: Convert to fraction form
    92,201/187,784 = 187,784/x
  3. Step 3: Cross multiply
    92,201x = 187,784 × 187,784
  4. Step 4: Simplify right side
    92,201x = 35,262,830,656
  5. Step 5: Solve for x
    x = 35,262,830,656/92,201
  6. Step 6: Final answer
    x = 382,456.05

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.