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Finding the Third Proportional to 61,869 and 96,501

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Solution

The third proportional to 61,869 and 96,501 is: 150,518.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,869 : 96,501 = 96,501 : x
  2. Step 2: Convert to fraction form
    61,869/96,501 = 96,501/x
  3. Step 3: Cross multiply
    61,869x = 96,501 × 96,501
  4. Step 4: Simplify right side
    61,869x = 9,312,443,001
  5. Step 5: Solve for x
    x = 9,312,443,001/61,869
  6. Step 6: Final answer
    x = 150,518.73

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.