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Finding the Third Proportional to 59,619 and 126,345.75

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Solution

The third proportional to 59,619 and 126,345.75 is: 267,754.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,619 : 126,345.75 = 126,345.75 : x
  2. Step 2: Convert to fraction form
    59,619/126,345.75 = 126,345.75/x
  3. Step 3: Cross multiply
    59,619x = 126,345.75 × 126,345.75
  4. Step 4: Simplify right side
    59,619x = 15,963,248,543.06
  5. Step 5: Solve for x
    x = 15,963,248,543.06/59,619
  6. Step 6: Final answer
    x = 267,754.38

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.