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Finding the Third Proportional to 58,298 and 125,516

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Solution

The third proportional to 58,298 and 125,516 is: 270,236.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,298 : 125,516 = 125,516 : x
  2. Step 2: Convert to fraction form
    58,298/125,516 = 125,516/x
  3. Step 3: Cross multiply
    58,298x = 125,516 × 125,516
  4. Step 4: Simplify right side
    58,298x = 15,754,266,256
  5. Step 5: Solve for x
    x = 15,754,266,256/58,298
  6. Step 6: Final answer
    x = 270,236.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.