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Finding the Third Proportional to 68,255 and 149,632.50

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Solution

The third proportional to 68,255 and 149,632.50 is: 328,032.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,255 : 149,632.50 = 149,632.50 : x
  2. Step 2: Convert to fraction form
    68,255/149,632.50 = 149,632.50/x
  3. Step 3: Cross multiply
    68,255x = 149,632.50 × 149,632.50
  4. Step 4: Simplify right side
    68,255x = 22,389,885,056.25
  5. Step 5: Solve for x
    x = 22,389,885,056.25/68,255
  6. Step 6: Final answer
    x = 328,032.89

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.