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Finding the Third Proportional to 90,722.50 and 197,024

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Solution

The third proportional to 90,722.50 and 197,024 is: 427,881.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,722.50 : 197,024 = 197,024 : x
  2. Step 2: Convert to fraction form
    90,722.50/197,024 = 197,024/x
  3. Step 3: Cross multiply
    90,722.50x = 197,024 × 197,024
  4. Step 4: Simplify right side
    90,722.50x = 38,818,456,576
  5. Step 5: Solve for x
    x = 38,818,456,576/90,722.50
  6. Step 6: Final answer
    x = 427,881.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.