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Finding the Third Proportional to 46,120.50 and 69,503

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Solution

The third proportional to 46,120.50 and 69,503 is: 104,740.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,120.50 : 69,503 = 69,503 : x
  2. Step 2: Convert to fraction form
    46,120.50/69,503 = 69,503/x
  3. Step 3: Cross multiply
    46,120.50x = 69,503 × 69,503
  4. Step 4: Simplify right side
    46,120.50x = 4,830,667,009
  5. Step 5: Solve for x
    x = 4,830,667,009/46,120.50
  6. Step 6: Final answer
    x = 104,740.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.