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Finding the Third Proportional to 84,773 and 131,146

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Solution

The third proportional to 84,773 and 131,146 is: 202,886.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,773 : 131,146 = 131,146 : x
  2. Step 2: Convert to fraction form
    84,773/131,146 = 131,146/x
  3. Step 3: Cross multiply
    84,773x = 131,146 × 131,146
  4. Step 4: Simplify right side
    84,773x = 17,199,273,316
  5. Step 5: Solve for x
    x = 17,199,273,316/84,773
  6. Step 6: Final answer
    x = 202,886.22

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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.