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Finding the Third Proportional to 87,050 and 190,501

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Solution

The third proportional to 87,050 and 190,501 is: 416,894.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,050 : 190,501 = 190,501 : x
  2. Step 2: Convert to fraction form
    87,050/190,501 = 190,501/x
  3. Step 3: Cross multiply
    87,050x = 190,501 × 190,501
  4. Step 4: Simplify right side
    87,050x = 36,290,631,001
  5. Step 5: Solve for x
    x = 36,290,631,001/87,050
  6. Step 6: Final answer
    x = 416,894.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.