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Finding the Third Proportional to 65,348 and 141,760

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Solution

The third proportional to 65,348 and 141,760 is: 307,521.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,348 : 141,760 = 141,760 : x
  2. Step 2: Convert to fraction form
    65,348/141,760 = 141,760/x
  3. Step 3: Cross multiply
    65,348x = 141,760 × 141,760
  4. Step 4: Simplify right side
    65,348x = 20,095,897,600
  5. Step 5: Solve for x
    x = 20,095,897,600/65,348
  6. Step 6: Final answer
    x = 307,521.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.