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Finding the Third Proportional to 84,963 and 132,090

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Solution

The third proportional to 84,963 and 132,090 is: 205,357.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,963 : 132,090 = 132,090 : x
  2. Step 2: Convert to fraction form
    84,963/132,090 = 132,090/x
  3. Step 3: Cross multiply
    84,963x = 132,090 × 132,090
  4. Step 4: Simplify right side
    84,963x = 17,447,768,100
  5. Step 5: Solve for x
    x = 17,447,768,100/84,963
  6. Step 6: Final answer
    x = 205,357.25

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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.