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Finding the Third Proportional to 67,509 and 106,760.25

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Solution

The third proportional to 67,509 and 106,760.25 is: 168,833.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,509 : 106,760.25 = 106,760.25 : x
  2. Step 2: Convert to fraction form
    67,509/106,760.25 = 106,760.25/x
  3. Step 3: Cross multiply
    67,509x = 106,760.25 × 106,760.25
  4. Step 4: Simplify right side
    67,509x = 11,397,750,980.06
  5. Step 5: Solve for x
    x = 11,397,750,980.06/67,509
  6. Step 6: Final answer
    x = 168,833.06

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.