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Finding the Third Proportional to 42,370.13 and 92,112.94

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Solution

The third proportional to 42,370.13 and 92,112.94 is: 200,254.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,370.13 : 92,112.94 = 92,112.94 : x
  2. Step 2: Convert to fraction form
    42,370.13/92,112.94 = 92,112.94/x
  3. Step 3: Cross multiply
    42,370.13x = 92,112.94 × 92,112.94
  4. Step 4: Simplify right side
    42,370.13x = 8,484,793,254.88
  5. Step 5: Solve for x
    x = 8,484,793,254.88/42,370.13
  6. Step 6: Final answer
    x = 200,254.15

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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.