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Finding the Third Proportional to 66,344 and 141,840

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Solution

The third proportional to 66,344 and 141,840 is: 303,246.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,344 : 141,840 = 141,840 : x
  2. Step 2: Convert to fraction form
    66,344/141,840 = 141,840/x
  3. Step 3: Cross multiply
    66,344x = 141,840 × 141,840
  4. Step 4: Simplify right side
    66,344x = 20,118,585,600
  5. Step 5: Solve for x
    x = 20,118,585,600/66,344
  6. Step 6: Final answer
    x = 303,246.50

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.