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Finding the Third Proportional to 53,290 and 88,806

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Solution

The third proportional to 53,290 and 88,806 is: 147,992.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,290 : 88,806 = 88,806 : x
  2. Step 2: Convert to fraction form
    53,290/88,806 = 88,806/x
  3. Step 3: Cross multiply
    53,290x = 88,806 × 88,806
  4. Step 4: Simplify right side
    53,290x = 7,886,505,636
  5. Step 5: Solve for x
    x = 7,886,505,636/53,290
  6. Step 6: Final answer
    x = 147,992.22

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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.