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Finding the Third Proportional to 79,036 and 140,527

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Solution

The third proportional to 79,036 and 140,527 is: 249,858.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,036 : 140,527 = 140,527 : x
  2. Step 2: Convert to fraction form
    79,036/140,527 = 140,527/x
  3. Step 3: Cross multiply
    79,036x = 140,527 × 140,527
  4. Step 4: Simplify right side
    79,036x = 19,747,837,729
  5. Step 5: Solve for x
    x = 19,747,837,729/79,036
  6. Step 6: Final answer
    x = 249,858.77

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.