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Finding the Third Proportional to 53,223 and 88,701

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Solution

The third proportional to 53,223 and 88,701 is: 147,828.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,223 : 88,701 = 88,701 : x
  2. Step 2: Convert to fraction form
    53,223/88,701 = 88,701/x
  3. Step 3: Cross multiply
    53,223x = 88,701 × 88,701
  4. Step 4: Simplify right side
    53,223x = 7,867,867,401
  5. Step 5: Solve for x
    x = 7,867,867,401/53,223
  6. Step 6: Final answer
    x = 147,828.33

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.