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Finding the Third Proportional to 56,583 and 84,889

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Solution

The third proportional to 56,583 and 84,889 is: 127,355.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,583 : 84,889 = 84,889 : x
  2. Step 2: Convert to fraction form
    56,583/84,889 = 84,889/x
  3. Step 3: Cross multiply
    56,583x = 84,889 × 84,889
  4. Step 4: Simplify right side
    56,583x = 7,206,142,321
  5. Step 5: Solve for x
    x = 7,206,142,321/56,583
  6. Step 6: Final answer
    x = 127,355.25

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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.