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Finding the Third Proportional to 46,738 and 102,548

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Solution

The third proportional to 46,738 and 102,548 is: 225,000.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,738 : 102,548 = 102,548 : x
  2. Step 2: Convert to fraction form
    46,738/102,548 = 102,548/x
  3. Step 3: Cross multiply
    46,738x = 102,548 × 102,548
  4. Step 4: Simplify right side
    46,738x = 10,516,092,304
  5. Step 5: Solve for x
    x = 10,516,092,304/46,738
  6. Step 6: Final answer
    x = 225,000.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.