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Finding the Third Proportional to 65,602 and 101,311

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Solution

The third proportional to 65,602 and 101,311 is: 156,457.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,602 : 101,311 = 101,311 : x
  2. Step 2: Convert to fraction form
    65,602/101,311 = 101,311/x
  3. Step 3: Cross multiply
    65,602x = 101,311 × 101,311
  4. Step 4: Simplify right side
    65,602x = 10,263,918,721
  5. Step 5: Solve for x
    x = 10,263,918,721/65,602
  6. Step 6: Final answer
    x = 156,457.41

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.