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Finding the Third Proportional to 61,268 and 97,734

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Solution

The third proportional to 61,268 and 97,734 is: 155,904.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,268 : 97,734 = 97,734 : x
  2. Step 2: Convert to fraction form
    61,268/97,734 = 97,734/x
  3. Step 3: Cross multiply
    61,268x = 97,734 × 97,734
  4. Step 4: Simplify right side
    61,268x = 9,551,934,756
  5. Step 5: Solve for x
    x = 9,551,934,756/61,268
  6. Step 6: Final answer
    x = 155,904.14

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.