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Finding the Third Proportional to 85,998 and 129,501

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Solution

The third proportional to 85,998 and 129,501 is: 195,010.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,998 : 129,501 = 129,501 : x
  2. Step 2: Convert to fraction form
    85,998/129,501 = 129,501/x
  3. Step 3: Cross multiply
    85,998x = 129,501 × 129,501
  4. Step 4: Simplify right side
    85,998x = 16,770,509,001
  5. Step 5: Solve for x
    x = 16,770,509,001/85,998
  6. Step 6: Final answer
    x = 195,010.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.