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Finding the Third Proportional to 27,406 and 59,178

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Solution

The third proportional to 27,406 and 59,178 is: 127,783.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,406 : 59,178 = 59,178 : x
  2. Step 2: Convert to fraction form
    27,406/59,178 = 59,178/x
  3. Step 3: Cross multiply
    27,406x = 59,178 × 59,178
  4. Step 4: Simplify right side
    27,406x = 3,502,035,684
  5. Step 5: Solve for x
    x = 3,502,035,684/27,406
  6. Step 6: Final answer
    x = 127,783.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.