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Finding the Third Proportional to 68,052 and 148,140

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Solution

The third proportional to 68,052 and 148,140 is: 322,480.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,052 : 148,140 = 148,140 : x
  2. Step 2: Convert to fraction form
    68,052/148,140 = 148,140/x
  3. Step 3: Cross multiply
    68,052x = 148,140 × 148,140
  4. Step 4: Simplify right side
    68,052x = 21,945,459,600
  5. Step 5: Solve for x
    x = 21,945,459,600/68,052
  6. Step 6: Final answer
    x = 322,480.74

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Why These Related Problems?

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