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Finding the Third Proportional to 66,024 and 137,520

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Solution

The third proportional to 66,024 and 137,520 is: 286,437.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,024 : 137,520 = 137,520 : x
  2. Step 2: Convert to fraction form
    66,024/137,520 = 137,520/x
  3. Step 3: Cross multiply
    66,024x = 137,520 × 137,520
  4. Step 4: Simplify right side
    66,024x = 18,911,750,400
  5. Step 5: Solve for x
    x = 18,911,750,400/66,024
  6. Step 6: Final answer
    x = 286,437.51

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.