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Finding the Third Proportional to 46,653 and 102,055

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Solution

The third proportional to 46,653 and 102,055 is: 223,248.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,653 : 102,055 = 102,055 : x
  2. Step 2: Convert to fraction form
    46,653/102,055 = 102,055/x
  3. Step 3: Cross multiply
    46,653x = 102,055 × 102,055
  4. Step 4: Simplify right side
    46,653x = 10,415,223,025
  5. Step 5: Solve for x
    x = 10,415,223,025/46,653
  6. Step 6: Final answer
    x = 223,248.73

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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.