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Finding the Third Proportional to 56,321 and 76,024

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Solution

The third proportional to 56,321 and 76,024 is: 102,619.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,321 : 76,024 = 76,024 : x
  2. Step 2: Convert to fraction form
    56,321/76,024 = 76,024/x
  3. Step 3: Cross multiply
    56,321x = 76,024 × 76,024
  4. Step 4: Simplify right side
    56,321x = 5,779,648,576
  5. Step 5: Solve for x
    x = 5,779,648,576/56,321
  6. Step 6: Final answer
    x = 102,619.78

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.