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Finding the Third Proportional to 67,850.16 and 147,182.06

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Solution

The third proportional to 67,850.16 and 147,182.06 is: 319,270.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,850.16 : 147,182.06 = 147,182.06 : x
  2. Step 2: Convert to fraction form
    67,850.16/147,182.06 = 147,182.06/x
  3. Step 3: Cross multiply
    67,850.16x = 147,182.06 × 147,182.06
  4. Step 4: Simplify right side
    67,850.16x = 21,662,559,521.75
  5. Step 5: Solve for x
    x = 21,662,559,521.75/67,850.16
  6. Step 6: Final answer
    x = 319,270.59

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