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Finding the Third Proportional to 66,943 and 103,655

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Solution

The third proportional to 66,943 and 103,655 is: 160,500.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,943 : 103,655 = 103,655 : x
  2. Step 2: Convert to fraction form
    66,943/103,655 = 103,655/x
  3. Step 3: Cross multiply
    66,943x = 103,655 × 103,655
  4. Step 4: Simplify right side
    66,943x = 10,744,359,025
  5. Step 5: Solve for x
    x = 10,744,359,025/66,943
  6. Step 6: Final answer
    x = 160,500.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.