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Finding the Third Proportional to 56,701.75 and 83,412.25

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Solution

The third proportional to 56,701.75 and 83,412.25 is: 122,705.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,701.75 : 83,412.25 = 83,412.25 : x
  2. Step 2: Convert to fraction form
    56,701.75/83,412.25 = 83,412.25/x
  3. Step 3: Cross multiply
    56,701.75x = 83,412.25 × 83,412.25
  4. Step 4: Simplify right side
    56,701.75x = 6,957,603,450.06
  5. Step 5: Solve for x
    x = 6,957,603,450.06/56,701.75
  6. Step 6: Final answer
    x = 122,705.27

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