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Finding the Third Proportional to 53,472 and 114,840

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Solution

The third proportional to 53,472 and 114,840 is: 246,637.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,472 : 114,840 = 114,840 : x
  2. Step 2: Convert to fraction form
    53,472/114,840 = 114,840/x
  3. Step 3: Cross multiply
    53,472x = 114,840 × 114,840
  4. Step 4: Simplify right side
    53,472x = 13,188,225,600
  5. Step 5: Solve for x
    x = 13,188,225,600/53,472
  6. Step 6: Final answer
    x = 246,637.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.