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Finding the Third Proportional to 131,472 and 213,601.50

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Solution

The third proportional to 131,472 and 213,601.50 is: 347,036.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,472 : 213,601.50 = 213,601.50 : x
  2. Step 2: Convert to fraction form
    131,472/213,601.50 = 213,601.50/x
  3. Step 3: Cross multiply
    131,472x = 213,601.50 × 213,601.50
  4. Step 4: Simplify right side
    131,472x = 45,625,600,802.25
  5. Step 5: Solve for x
    x = 45,625,600,802.25/131,472
  6. Step 6: Final answer
    x = 347,036.64

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These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.