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Finding the Third Proportional to 66,017 and 141,511

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Solution

The third proportional to 66,017 and 141,511 is: 303,336.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,017 : 141,511 = 141,511 : x
  2. Step 2: Convert to fraction form
    66,017/141,511 = 141,511/x
  3. Step 3: Cross multiply
    66,017x = 141,511 × 141,511
  4. Step 4: Simplify right side
    66,017x = 20,025,363,121
  5. Step 5: Solve for x
    x = 20,025,363,121/66,017
  6. Step 6: Final answer
    x = 303,336.46

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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.