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Finding the Third Proportional to 53,284 and 88,795

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Solution

The third proportional to 53,284 and 88,795 is: 147,972.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,284 : 88,795 = 88,795 : x
  2. Step 2: Convert to fraction form
    53,284/88,795 = 88,795/x
  3. Step 3: Cross multiply
    53,284x = 88,795 × 88,795
  4. Step 4: Simplify right side
    53,284x = 7,884,552,025
  5. Step 5: Solve for x
    x = 7,884,552,025/53,284
  6. Step 6: Final answer
    x = 147,972.22

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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.