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Finding the Third Proportional to 46,942 and 101,437

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Solution

The third proportional to 46,942 and 101,437 is: 219,195.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,942 : 101,437 = 101,437 : x
  2. Step 2: Convert to fraction form
    46,942/101,437 = 101,437/x
  3. Step 3: Cross multiply
    46,942x = 101,437 × 101,437
  4. Step 4: Simplify right side
    46,942x = 10,289,464,969
  5. Step 5: Solve for x
    x = 10,289,464,969/46,942
  6. Step 6: Final answer
    x = 219,195.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.