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Finding the Third Proportional to 65,732 and 141,316

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Solution

The third proportional to 65,732 and 141,316 is: 303,812.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,732 : 141,316 = 141,316 : x
  2. Step 2: Convert to fraction form
    65,732/141,316 = 141,316/x
  3. Step 3: Cross multiply
    65,732x = 141,316 × 141,316
  4. Step 4: Simplify right side
    65,732x = 19,970,211,856
  5. Step 5: Solve for x
    x = 19,970,211,856/65,732
  6. Step 6: Final answer
    x = 303,812.63

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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.