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Finding the Third Proportional to 56,628 and 85,084

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Solution

The third proportional to 56,628 and 85,084 is: 127,839.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,628 : 85,084 = 85,084 : x
  2. Step 2: Convert to fraction form
    56,628/85,084 = 85,084/x
  3. Step 3: Cross multiply
    56,628x = 85,084 × 85,084
  4. Step 4: Simplify right side
    56,628x = 7,239,287,056
  5. Step 5: Solve for x
    x = 7,239,287,056/56,628
  6. Step 6: Final answer
    x = 127,839.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.