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Finding the Third Proportional to 42,580 and 92,620

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Solution

The third proportional to 42,580 and 92,620 is: 201,466.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,580 : 92,620 = 92,620 : x
  2. Step 2: Convert to fraction form
    42,580/92,620 = 92,620/x
  3. Step 3: Cross multiply
    42,580x = 92,620 × 92,620
  4. Step 4: Simplify right side
    42,580x = 8,578,464,400
  5. Step 5: Solve for x
    x = 8,578,464,400/42,580
  6. Step 6: Final answer
    x = 201,466.99

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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.