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Finding the Third Proportional to 46,044 and 95,360

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Solution

The third proportional to 46,044 and 95,360 is: 197,496.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,044 : 95,360 = 95,360 : x
  2. Step 2: Convert to fraction form
    46,044/95,360 = 95,360/x
  3. Step 3: Cross multiply
    46,044x = 95,360 × 95,360
  4. Step 4: Simplify right side
    46,044x = 9,093,529,600
  5. Step 5: Solve for x
    x = 9,093,529,600/46,044
  6. Step 6: Final answer
    x = 197,496.52

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.