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Finding the Third Proportional to 58,184 and 124,144

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Solution

The third proportional to 58,184 and 124,144 is: 264,879.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,184 : 124,144 = 124,144 : x
  2. Step 2: Convert to fraction form
    58,184/124,144 = 124,144/x
  3. Step 3: Cross multiply
    58,184x = 124,144 × 124,144
  4. Step 4: Simplify right side
    58,184x = 15,411,732,736
  5. Step 5: Solve for x
    x = 15,411,732,736/58,184
  6. Step 6: Final answer
    x = 264,879.22

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.