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Finding the Third Proportional to 56,624 and 84,928

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Solution

The third proportional to 56,624 and 84,928 is: 127,380.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,624 : 84,928 = 84,928 : x
  2. Step 2: Convert to fraction form
    56,624/84,928 = 84,928/x
  3. Step 3: Cross multiply
    56,624x = 84,928 × 84,928
  4. Step 4: Simplify right side
    56,624x = 7,212,765,184
  5. Step 5: Solve for x
    x = 7,212,765,184/56,624
  6. Step 6: Final answer
    x = 127,380.00

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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.