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Finding the Third Proportional to 48,897 and 101,466

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Solution

The third proportional to 48,897 and 101,466 is: 210,551.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,897 : 101,466 = 101,466 : x
  2. Step 2: Convert to fraction form
    48,897/101,466 = 101,466/x
  3. Step 3: Cross multiply
    48,897x = 101,466 × 101,466
  4. Step 4: Simplify right side
    48,897x = 10,295,349,156
  5. Step 5: Solve for x
    x = 10,295,349,156/48,897
  6. Step 6: Final answer
    x = 210,551.75

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.