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Finding the Third Proportional to 55,472 and 118,712

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Solution

The third proportional to 55,472 and 118,712 is: 254,047.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,472 : 118,712 = 118,712 : x
  2. Step 2: Convert to fraction form
    55,472/118,712 = 118,712/x
  3. Step 3: Cross multiply
    55,472x = 118,712 × 118,712
  4. Step 4: Simplify right side
    55,472x = 14,092,538,944
  5. Step 5: Solve for x
    x = 14,092,538,944/55,472
  6. Step 6: Final answer
    x = 254,047.79

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.