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Finding the Third Proportional to 46,747.13 and 111,126.94

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Solution

The third proportional to 46,747.13 and 111,126.94 is: 264,170.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,747.13 : 111,126.94 = 111,126.94 : x
  2. Step 2: Convert to fraction form
    46,747.13/111,126.94 = 111,126.94/x
  3. Step 3: Cross multiply
    46,747.13x = 111,126.94 × 111,126.94
  4. Step 4: Simplify right side
    46,747.13x = 12,349,196,238.13
  5. Step 5: Solve for x
    x = 12,349,196,238.13/46,747.13
  6. Step 6: Final answer
    x = 264,170.18

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.