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Finding the Third Proportional to 40,101 and 86,559

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Solution

The third proportional to 40,101 and 86,559 is: 186,839.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,101 : 86,559 = 86,559 : x
  2. Step 2: Convert to fraction form
    40,101/86,559 = 86,559/x
  3. Step 3: Cross multiply
    40,101x = 86,559 × 86,559
  4. Step 4: Simplify right side
    40,101x = 7,492,460,481
  5. Step 5: Solve for x
    x = 7,492,460,481/40,101
  6. Step 6: Final answer
    x = 186,839.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.