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Finding the Third Proportional to 42,588 and 92,610

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Solution

The third proportional to 42,588 and 92,610 is: 201,385.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,588 : 92,610 = 92,610 : x
  2. Step 2: Convert to fraction form
    42,588/92,610 = 92,610/x
  3. Step 3: Cross multiply
    42,588x = 92,610 × 92,610
  4. Step 4: Simplify right side
    42,588x = 8,576,612,100
  5. Step 5: Solve for x
    x = 8,576,612,100/42,588
  6. Step 6: Final answer
    x = 201,385.65

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.