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Finding the Third Proportional to 97,218 and 140,499

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Solution

The third proportional to 97,218 and 140,499 is: 203,048.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,218 : 140,499 = 140,499 : x
  2. Step 2: Convert to fraction form
    97,218/140,499 = 140,499/x
  3. Step 3: Cross multiply
    97,218x = 140,499 × 140,499
  4. Step 4: Simplify right side
    97,218x = 19,739,969,001
  5. Step 5: Solve for x
    x = 19,739,969,001/97,218
  6. Step 6: Final answer
    x = 203,048.50

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.