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Finding the Third Proportional to 77,441 and 113,893

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Solution

The third proportional to 77,441 and 113,893 is: 167,503.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,441 : 113,893 = 113,893 : x
  2. Step 2: Convert to fraction form
    77,441/113,893 = 113,893/x
  3. Step 3: Cross multiply
    77,441x = 113,893 × 113,893
  4. Step 4: Simplify right side
    77,441x = 12,971,615,449
  5. Step 5: Solve for x
    x = 12,971,615,449/77,441
  6. Step 6: Final answer
    x = 167,503.20

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.