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Finding the Third Proportional to 58,228 and 134,424

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Solution

The third proportional to 58,228 and 134,424 is: 310,328.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,228 : 134,424 = 134,424 : x
  2. Step 2: Convert to fraction form
    58,228/134,424 = 134,424/x
  3. Step 3: Cross multiply
    58,228x = 134,424 × 134,424
  4. Step 4: Simplify right side
    58,228x = 18,069,811,776
  5. Step 5: Solve for x
    x = 18,069,811,776/58,228
  6. Step 6: Final answer
    x = 310,328.57

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.