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Finding the Third Proportional to 58,124 and 123,224

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Solution

The third proportional to 58,124 and 123,224 is: 261,237.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,124 : 123,224 = 123,224 : x
  2. Step 2: Convert to fraction form
    58,124/123,224 = 123,224/x
  3. Step 3: Cross multiply
    58,124x = 123,224 × 123,224
  4. Step 4: Simplify right side
    58,124x = 15,184,154,176
  5. Step 5: Solve for x
    x = 15,184,154,176/58,124
  6. Step 6: Final answer
    x = 261,237.25

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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.