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Finding the Third Proportional to 66,961.50 and 101,306

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Solution

The third proportional to 66,961.50 and 101,306 is: 153,265.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,961.50 : 101,306 = 101,306 : x
  2. Step 2: Convert to fraction form
    66,961.50/101,306 = 101,306/x
  3. Step 3: Cross multiply
    66,961.50x = 101,306 × 101,306
  4. Step 4: Simplify right side
    66,961.50x = 10,262,905,636
  5. Step 5: Solve for x
    x = 10,262,905,636/66,961.50
  6. Step 6: Final answer
    x = 153,265.77

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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.