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Finding the Third Proportional to 61,291.50 and 92,301.75

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Solution

The third proportional to 61,291.50 and 92,301.75 is: 139,001.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,291.50 : 92,301.75 = 92,301.75 : x
  2. Step 2: Convert to fraction form
    61,291.50/92,301.75 = 92,301.75/x
  3. Step 3: Cross multiply
    61,291.50x = 92,301.75 × 92,301.75
  4. Step 4: Simplify right side
    61,291.50x = 8,519,613,053.06
  5. Step 5: Solve for x
    x = 8,519,613,053.06/61,291.50
  6. Step 6: Final answer
    x = 139,001.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.