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Finding the Third Proportional to 65,727 and 107,316

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Solution

The third proportional to 65,727 and 107,316 is: 175,220.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,727 : 107,316 = 107,316 : x
  2. Step 2: Convert to fraction form
    65,727/107,316 = 107,316/x
  3. Step 3: Cross multiply
    65,727x = 107,316 × 107,316
  4. Step 4: Simplify right side
    65,727x = 11,516,723,856
  5. Step 5: Solve for x
    x = 11,516,723,856/65,727
  6. Step 6: Final answer
    x = 175,220.59

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.