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Finding the Third Proportional to 40,455 and 87,786

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Solution

The third proportional to 40,455 and 87,786 is: 190,492.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,455 : 87,786 = 87,786 : x
  2. Step 2: Convert to fraction form
    40,455/87,786 = 87,786/x
  3. Step 3: Cross multiply
    40,455x = 87,786 × 87,786
  4. Step 4: Simplify right side
    40,455x = 7,706,381,796
  5. Step 5: Solve for x
    x = 7,706,381,796/40,455
  6. Step 6: Final answer
    x = 190,492.69

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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.