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Finding the Third Proportional to 61,468 and 93,843

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Solution

The third proportional to 61,468 and 93,843 is: 143,269.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,468 : 93,843 = 93,843 : x
  2. Step 2: Convert to fraction form
    61,468/93,843 = 93,843/x
  3. Step 3: Cross multiply
    61,468x = 93,843 × 93,843
  4. Step 4: Simplify right side
    61,468x = 8,806,508,649
  5. Step 5: Solve for x
    x = 8,806,508,649/61,468
  6. Step 6: Final answer
    x = 143,269.81

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.