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Finding the Third Proportional to 58,948 and 125,168

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Solution

The third proportional to 58,948 and 125,168 is: 265,777.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,948 : 125,168 = 125,168 : x
  2. Step 2: Convert to fraction form
    58,948/125,168 = 125,168/x
  3. Step 3: Cross multiply
    58,948x = 125,168 × 125,168
  4. Step 4: Simplify right side
    58,948x = 15,667,028,224
  5. Step 5: Solve for x
    x = 15,667,028,224/58,948
  6. Step 6: Final answer
    x = 265,777.10

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.