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Finding the Third Proportional to 68,454 and 102,222

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Solution

The third proportional to 68,454 and 102,222 is: 152,647.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,454 : 102,222 = 102,222 : x
  2. Step 2: Convert to fraction form
    68,454/102,222 = 102,222/x
  3. Step 3: Cross multiply
    68,454x = 102,222 × 102,222
  4. Step 4: Simplify right side
    68,454x = 10,449,337,284
  5. Step 5: Solve for x
    x = 10,449,337,284/68,454
  6. Step 6: Final answer
    x = 152,647.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.