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Finding the Third Proportional to 72,086 and 114,791

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Solution

The third proportional to 72,086 and 114,791 is: 182,795.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,086 : 114,791 = 114,791 : x
  2. Step 2: Convert to fraction form
    72,086/114,791 = 114,791/x
  3. Step 3: Cross multiply
    72,086x = 114,791 × 114,791
  4. Step 4: Simplify right side
    72,086x = 13,176,973,681
  5. Step 5: Solve for x
    x = 13,176,973,681/72,086
  6. Step 6: Final answer
    x = 182,795.18

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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.