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Finding the Third Proportional to 72,954 and 114,291

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Solution

The third proportional to 72,954 and 114,291 is: 179,050.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,954 : 114,291 = 114,291 : x
  2. Step 2: Convert to fraction form
    72,954/114,291 = 114,291/x
  3. Step 3: Cross multiply
    72,954x = 114,291 × 114,291
  4. Step 4: Simplify right side
    72,954x = 13,062,432,681
  5. Step 5: Solve for x
    x = 13,062,432,681/72,954
  6. Step 6: Final answer
    x = 179,050.26

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.