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Finding the Third Proportional to 56,626.88 and 83,296.13

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Solution

The third proportional to 56,626.88 and 83,296.13 is: 122,525.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,626.88 : 83,296.13 = 83,296.13 : x
  2. Step 2: Convert to fraction form
    56,626.88/83,296.13 = 83,296.13/x
  3. Step 3: Cross multiply
    56,626.88x = 83,296.13 × 83,296.13
  4. Step 4: Simplify right side
    56,626.88x = 6,938,244,440.02
  5. Step 5: Solve for x
    x = 6,938,244,440.02/56,626.88
  6. Step 6: Final answer
    x = 122,525.65

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.