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Finding the Third Proportional to 58,672 and 124,304

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Solution

The third proportional to 58,672 and 124,304 is: 263,353.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,672 : 124,304 = 124,304 : x
  2. Step 2: Convert to fraction form
    58,672/124,304 = 124,304/x
  3. Step 3: Cross multiply
    58,672x = 124,304 × 124,304
  4. Step 4: Simplify right side
    58,672x = 15,451,484,416
  5. Step 5: Solve for x
    x = 15,451,484,416/58,672
  6. Step 6: Final answer
    x = 263,353.63

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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.