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Finding the Third Proportional to 53,224 and 88,703

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Solution

The third proportional to 53,224 and 88,703 is: 147,832.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,224 : 88,703 = 88,703 : x
  2. Step 2: Convert to fraction form
    53,224/88,703 = 88,703/x
  3. Step 3: Cross multiply
    53,224x = 88,703 × 88,703
  4. Step 4: Simplify right side
    53,224x = 7,868,222,209
  5. Step 5: Solve for x
    x = 7,868,222,209/53,224
  6. Step 6: Final answer
    x = 147,832.22

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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.