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Finding the Third Proportional to 40,243 and 88,454

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Solution

The third proportional to 40,243 and 88,454 is: 194,421.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,243 : 88,454 = 88,454 : x
  2. Step 2: Convert to fraction form
    40,243/88,454 = 88,454/x
  3. Step 3: Cross multiply
    40,243x = 88,454 × 88,454
  4. Step 4: Simplify right side
    40,243x = 7,824,110,116
  5. Step 5: Solve for x
    x = 7,824,110,116/40,243
  6. Step 6: Final answer
    x = 194,421.64

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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.