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Finding the Third Proportional to 68,614.50 and 148,164

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Solution

The third proportional to 68,614.50 and 148,164 is: 319,940.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,614.50 : 148,164 = 148,164 : x
  2. Step 2: Convert to fraction form
    68,614.50/148,164 = 148,164/x
  3. Step 3: Cross multiply
    68,614.50x = 148,164 × 148,164
  4. Step 4: Simplify right side
    68,614.50x = 21,952,570,896
  5. Step 5: Solve for x
    x = 21,952,570,896/68,614.50
  6. Step 6: Final answer
    x = 319,940.70

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