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Finding the Third Proportional to 56,969 and 85,455

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Solution

The third proportional to 56,969 and 85,455 is: 128,184.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,969 : 85,455 = 85,455 : x
  2. Step 2: Convert to fraction form
    56,969/85,455 = 85,455/x
  3. Step 3: Cross multiply
    56,969x = 85,455 × 85,455
  4. Step 4: Simplify right side
    56,969x = 7,302,557,025
  5. Step 5: Solve for x
    x = 7,302,557,025/56,969
  6. Step 6: Final answer
    x = 128,184.75

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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.