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Finding the Third Proportional to 60,906 and 91,111

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Solution

The third proportional to 60,906 and 91,111 is: 136,295.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,906 : 91,111 = 91,111 : x
  2. Step 2: Convert to fraction form
    60,906/91,111 = 91,111/x
  3. Step 3: Cross multiply
    60,906x = 91,111 × 91,111
  4. Step 4: Simplify right side
    60,906x = 8,301,214,321
  5. Step 5: Solve for x
    x = 8,301,214,321/60,906
  6. Step 6: Final answer
    x = 136,295.51

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Why These Related Problems?

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