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Finding the Third Proportional to 88,806 and 138,024

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Solution

The third proportional to 88,806 and 138,024 is: 214,519.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,806 : 138,024 = 138,024 : x
  2. Step 2: Convert to fraction form
    88,806/138,024 = 138,024/x
  3. Step 3: Cross multiply
    88,806x = 138,024 × 138,024
  4. Step 4: Simplify right side
    88,806x = 19,050,624,576
  5. Step 5: Solve for x
    x = 19,050,624,576/88,806
  6. Step 6: Final answer
    x = 214,519.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.