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Finding the Third Proportional to 56,679 and 83,290

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Solution

The third proportional to 56,679 and 83,290 is: 122,394.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,679 : 83,290 = 83,290 : x
  2. Step 2: Convert to fraction form
    56,679/83,290 = 83,290/x
  3. Step 3: Cross multiply
    56,679x = 83,290 × 83,290
  4. Step 4: Simplify right side
    56,679x = 6,937,224,100
  5. Step 5: Solve for x
    x = 6,937,224,100/56,679
  6. Step 6: Final answer
    x = 122,394.96

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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.