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Finding the Third Proportional to 66,543.50 and 100,508

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Solution

The third proportional to 66,543.50 and 100,508 is: 151,808.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,543.50 : 100,508 = 100,508 : x
  2. Step 2: Convert to fraction form
    66,543.50/100,508 = 100,508/x
  3. Step 3: Cross multiply
    66,543.50x = 100,508 × 100,508
  4. Step 4: Simplify right side
    66,543.50x = 10,101,858,064
  5. Step 5: Solve for x
    x = 10,101,858,064/66,543.50
  6. Step 6: Final answer
    x = 151,808.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.