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Finding the Third Proportional to 53,288 and 88,803

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Solution

The third proportional to 53,288 and 88,803 is: 147,987.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,288 : 88,803 = 88,803 : x
  2. Step 2: Convert to fraction form
    53,288/88,803 = 88,803/x
  3. Step 3: Cross multiply
    53,288x = 88,803 × 88,803
  4. Step 4: Simplify right side
    53,288x = 7,885,972,809
  5. Step 5: Solve for x
    x = 7,885,972,809/53,288
  6. Step 6: Final answer
    x = 147,987.78

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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.