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Finding the Third Proportional to 45,370 and 68,101

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Solution

The third proportional to 45,370 and 68,101 is: 102,220.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,370 : 68,101 = 68,101 : x
  2. Step 2: Convert to fraction form
    45,370/68,101 = 68,101/x
  3. Step 3: Cross multiply
    45,370x = 68,101 × 68,101
  4. Step 4: Simplify right side
    45,370x = 4,637,746,201
  5. Step 5: Solve for x
    x = 4,637,746,201/45,370
  6. Step 6: Final answer
    x = 102,220.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.