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Finding the Third Proportional to 86,504 and 110,527

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Solution

The third proportional to 86,504 and 110,527 is: 141,221.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,504 : 110,527 = 110,527 : x
  2. Step 2: Convert to fraction form
    86,504/110,527 = 110,527/x
  3. Step 3: Cross multiply
    86,504x = 110,527 × 110,527
  4. Step 4: Simplify right side
    86,504x = 12,216,217,729
  5. Step 5: Solve for x
    x = 12,216,217,729/86,504
  6. Step 6: Final answer
    x = 141,221.42

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.