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Finding the Third Proportional to 66,972 and 140,840

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Solution

The third proportional to 66,972 and 140,840 is: 296,182.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,972 : 140,840 = 140,840 : x
  2. Step 2: Convert to fraction form
    66,972/140,840 = 140,840/x
  3. Step 3: Cross multiply
    66,972x = 140,840 × 140,840
  4. Step 4: Simplify right side
    66,972x = 19,835,905,600
  5. Step 5: Solve for x
    x = 19,835,905,600/66,972
  6. Step 6: Final answer
    x = 296,182.07

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.