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Finding the Third Proportional to 88,029 and 190,086

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Solution

The third proportional to 88,029 and 190,086 is: 410,463.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,029 : 190,086 = 190,086 : x
  2. Step 2: Convert to fraction form
    88,029/190,086 = 190,086/x
  3. Step 3: Cross multiply
    88,029x = 190,086 × 190,086
  4. Step 4: Simplify right side
    88,029x = 36,132,687,396
  5. Step 5: Solve for x
    x = 36,132,687,396/88,029
  6. Step 6: Final answer
    x = 410,463.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.