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Finding the Third Proportional to 54,130 and 125,312

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Solution

The third proportional to 54,130 and 125,312 is: 290,099.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,130 : 125,312 = 125,312 : x
  2. Step 2: Convert to fraction form
    54,130/125,312 = 125,312/x
  3. Step 3: Cross multiply
    54,130x = 125,312 × 125,312
  4. Step 4: Simplify right side
    54,130x = 15,703,097,344
  5. Step 5: Solve for x
    x = 15,703,097,344/54,130
  6. Step 6: Final answer
    x = 290,099.71

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.