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Finding the Third Proportional to 61,904 and 96,090

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Solution

The third proportional to 61,904 and 96,090 is: 149,154.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,904 : 96,090 = 96,090 : x
  2. Step 2: Convert to fraction form
    61,904/96,090 = 96,090/x
  3. Step 3: Cross multiply
    61,904x = 96,090 × 96,090
  4. Step 4: Simplify right side
    61,904x = 9,233,288,100
  5. Step 5: Solve for x
    x = 9,233,288,100/61,904
  6. Step 6: Final answer
    x = 149,154.95

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.