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Finding the Third Proportional to 85,946 and 132,807

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Solution

The third proportional to 85,946 and 132,807 is: 205,218.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,946 : 132,807 = 132,807 : x
  2. Step 2: Convert to fraction form
    85,946/132,807 = 132,807/x
  3. Step 3: Cross multiply
    85,946x = 132,807 × 132,807
  4. Step 4: Simplify right side
    85,946x = 17,637,699,249
  5. Step 5: Solve for x
    x = 17,637,699,249/85,946
  6. Step 6: Final answer
    x = 205,218.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.