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Finding the Third Proportional to 56,855 and 85,283

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Solution

The third proportional to 56,855 and 85,283 is: 127,925.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,855 : 85,283 = 85,283 : x
  2. Step 2: Convert to fraction form
    56,855/85,283 = 85,283/x
  3. Step 3: Cross multiply
    56,855x = 85,283 × 85,283
  4. Step 4: Simplify right side
    56,855x = 7,273,190,089
  5. Step 5: Solve for x
    x = 7,273,190,089/56,855
  6. Step 6: Final answer
    x = 127,925.25

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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.