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Finding the Third Proportional to 58,175 and 127,244

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Solution

The third proportional to 58,175 and 127,244 is: 278,316.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,175 : 127,244 = 127,244 : x
  2. Step 2: Convert to fraction form
    58,175/127,244 = 127,244/x
  3. Step 3: Cross multiply
    58,175x = 127,244 × 127,244
  4. Step 4: Simplify right side
    58,175x = 16,191,035,536
  5. Step 5: Solve for x
    x = 16,191,035,536/58,175
  6. Step 6: Final answer
    x = 278,316.04

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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.