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Finding the Third Proportional to 56,328 and 87,724

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Solution

The third proportional to 56,328 and 87,724 is: 136,619.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,328 : 87,724 = 87,724 : x
  2. Step 2: Convert to fraction form
    56,328/87,724 = 87,724/x
  3. Step 3: Cross multiply
    56,328x = 87,724 × 87,724
  4. Step 4: Simplify right side
    56,328x = 7,695,500,176
  5. Step 5: Solve for x
    x = 7,695,500,176/56,328
  6. Step 6: Final answer
    x = 136,619.45

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.