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Finding the Third Proportional to 66,341 and 105,509

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Solution

The third proportional to 66,341 and 105,509 is: 167,801.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,341 : 105,509 = 105,509 : x
  2. Step 2: Convert to fraction form
    66,341/105,509 = 105,509/x
  3. Step 3: Cross multiply
    66,341x = 105,509 × 105,509
  4. Step 4: Simplify right side
    66,341x = 11,132,149,081
  5. Step 5: Solve for x
    x = 11,132,149,081/66,341
  6. Step 6: Final answer
    x = 167,801.95

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.