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Finding the Third Proportional to 67,307.06 and 146,838.38

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Solution

The third proportional to 67,307.06 and 146,838.38 is: 320,345.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,307.06 : 146,838.38 = 146,838.38 : x
  2. Step 2: Convert to fraction form
    67,307.06/146,838.38 = 146,838.38/x
  3. Step 3: Cross multiply
    67,307.06x = 146,838.38 × 146,838.38
  4. Step 4: Simplify right side
    67,307.06x = 21,561,508,372.64
  5. Step 5: Solve for x
    x = 21,561,508,372.64/67,307.06
  6. Step 6: Final answer
    x = 320,345.41

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.