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Finding the Third Proportional to 65,396 and 141,164

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Solution

The third proportional to 65,396 and 141,164 is: 304,717.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,396 : 141,164 = 141,164 : x
  2. Step 2: Convert to fraction form
    65,396/141,164 = 141,164/x
  3. Step 3: Cross multiply
    65,396x = 141,164 × 141,164
  4. Step 4: Simplify right side
    65,396x = 19,927,274,896
  5. Step 5: Solve for x
    x = 19,927,274,896/65,396
  6. Step 6: Final answer
    x = 304,717.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.