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Finding the Third Proportional to 48,747 and 99,222

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Solution

The third proportional to 48,747 and 99,222 is: 201,961.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,747 : 99,222 = 99,222 : x
  2. Step 2: Convert to fraction form
    48,747/99,222 = 99,222/x
  3. Step 3: Cross multiply
    48,747x = 99,222 × 99,222
  4. Step 4: Simplify right side
    48,747x = 9,845,005,284
  5. Step 5: Solve for x
    x = 9,845,005,284/48,747
  6. Step 6: Final answer
    x = 201,961.25

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.