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Finding the Third Proportional to 68,545 and 93,381

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Solution

The third proportional to 68,545 and 93,381 is: 127,215.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,545 : 93,381 = 93,381 : x
  2. Step 2: Convert to fraction form
    68,545/93,381 = 93,381/x
  3. Step 3: Cross multiply
    68,545x = 93,381 × 93,381
  4. Step 4: Simplify right side
    68,545x = 8,720,011,161
  5. Step 5: Solve for x
    x = 8,720,011,161/68,545
  6. Step 6: Final answer
    x = 127,215.86

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.