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Finding the Third Proportional to 65,703 and 141,248

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Solution

The third proportional to 65,703 and 141,248 is: 303,654.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,703 : 141,248 = 141,248 : x
  2. Step 2: Convert to fraction form
    65,703/141,248 = 141,248/x
  3. Step 3: Cross multiply
    65,703x = 141,248 × 141,248
  4. Step 4: Simplify right side
    65,703x = 19,950,997,504
  5. Step 5: Solve for x
    x = 19,950,997,504/65,703
  6. Step 6: Final answer
    x = 303,654.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.