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Finding the Third Proportional to 88,112 and 193,648

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Solution

The third proportional to 88,112 and 193,648 is: 425,589.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,112 : 193,648 = 193,648 : x
  2. Step 2: Convert to fraction form
    88,112/193,648 = 193,648/x
  3. Step 3: Cross multiply
    88,112x = 193,648 × 193,648
  4. Step 4: Simplify right side
    88,112x = 37,499,547,904
  5. Step 5: Solve for x
    x = 37,499,547,904/88,112
  6. Step 6: Final answer
    x = 425,589.57

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.