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Finding the Third Proportional to 56,445 and 82,980

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Solution

The third proportional to 56,445 and 82,980 is: 121,989.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,445 : 82,980 = 82,980 : x
  2. Step 2: Convert to fraction form
    56,445/82,980 = 82,980/x
  3. Step 3: Cross multiply
    56,445x = 82,980 × 82,980
  4. Step 4: Simplify right side
    56,445x = 6,885,680,400
  5. Step 5: Solve for x
    x = 6,885,680,400/56,445
  6. Step 6: Final answer
    x = 121,989.20

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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.