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Finding the Third Proportional to 46,961.50 and 102,877

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Solution

The third proportional to 46,961.50 and 102,877 is: 225,369.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,961.50 : 102,877 = 102,877 : x
  2. Step 2: Convert to fraction form
    46,961.50/102,877 = 102,877/x
  3. Step 3: Cross multiply
    46,961.50x = 102,877 × 102,877
  4. Step 4: Simplify right side
    46,961.50x = 10,583,677,129
  5. Step 5: Solve for x
    x = 10,583,677,129/46,961.50
  6. Step 6: Final answer
    x = 225,369.23

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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.