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Finding the Third Proportional to 87,202 and 134,998

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Solution

The third proportional to 87,202 and 134,998 is: 208,991.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,202 : 134,998 = 134,998 : x
  2. Step 2: Convert to fraction form
    87,202/134,998 = 134,998/x
  3. Step 3: Cross multiply
    87,202x = 134,998 × 134,998
  4. Step 4: Simplify right side
    87,202x = 18,224,460,004
  5. Step 5: Solve for x
    x = 18,224,460,004/87,202
  6. Step 6: Final answer
    x = 208,991.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.