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Finding the Third Proportional to 61,201 and 91,516

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Solution

The third proportional to 61,201 and 91,516 is: 136,847.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,201 : 91,516 = 91,516 : x
  2. Step 2: Convert to fraction form
    61,201/91,516 = 91,516/x
  3. Step 3: Cross multiply
    61,201x = 91,516 × 91,516
  4. Step 4: Simplify right side
    61,201x = 8,375,178,256
  5. Step 5: Solve for x
    x = 8,375,178,256/61,201
  6. Step 6: Final answer
    x = 136,847.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.