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Finding the Third Proportional to 40,528 and 87,299

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Solution

The third proportional to 40,528 and 87,299 is: 188,045.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,528 : 87,299 = 87,299 : x
  2. Step 2: Convert to fraction form
    40,528/87,299 = 87,299/x
  3. Step 3: Cross multiply
    40,528x = 87,299 × 87,299
  4. Step 4: Simplify right side
    40,528x = 7,621,115,401
  5. Step 5: Solve for x
    x = 7,621,115,401/40,528
  6. Step 6: Final answer
    x = 188,045.68

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.