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Finding the Third Proportional to 66,501 and 142,350.75

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Solution

The third proportional to 66,501 and 142,350.75 is: 304,713.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,501 : 142,350.75 = 142,350.75 : x
  2. Step 2: Convert to fraction form
    66,501/142,350.75 = 142,350.75/x
  3. Step 3: Cross multiply
    66,501x = 142,350.75 × 142,350.75
  4. Step 4: Simplify right side
    66,501x = 20,263,736,025.56
  5. Step 5: Solve for x
    x = 20,263,736,025.56/66,501
  6. Step 6: Final answer
    x = 304,713.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.