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Finding the Third Proportional to 56,710 and 83,771.75

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Solution

The third proportional to 56,710 and 83,771.75 is: 123,747.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,710 : 83,771.75 = 83,771.75 : x
  2. Step 2: Convert to fraction form
    56,710/83,771.75 = 83,771.75/x
  3. Step 3: Cross multiply
    56,710x = 83,771.75 × 83,771.75
  4. Step 4: Simplify right side
    56,710x = 7,017,706,098.06
  5. Step 5: Solve for x
    x = 7,017,706,098.06/56,710
  6. Step 6: Final answer
    x = 123,747.24

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.