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Finding the Third Proportional to 66,345 and 140,370

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Solution

The third proportional to 66,345 and 140,370 is: 296,989.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,345 : 140,370 = 140,370 : x
  2. Step 2: Convert to fraction form
    66,345/140,370 = 140,370/x
  3. Step 3: Cross multiply
    66,345x = 140,370 × 140,370
  4. Step 4: Simplify right side
    66,345x = 19,703,736,900
  5. Step 5: Solve for x
    x = 19,703,736,900/66,345
  6. Step 6: Final answer
    x = 296,989.03

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.