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Finding the Third Proportional to 56,614 and 84,912

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Solution

The third proportional to 56,614 and 84,912 is: 127,354.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,614 : 84,912 = 84,912 : x
  2. Step 2: Convert to fraction form
    56,614/84,912 = 84,912/x
  3. Step 3: Cross multiply
    56,614x = 84,912 × 84,912
  4. Step 4: Simplify right side
    56,614x = 7,210,047,744
  5. Step 5: Solve for x
    x = 7,210,047,744/56,614
  6. Step 6: Final answer
    x = 127,354.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.