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Finding the Third Proportional to 113,924 and 183,036

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Solution

The third proportional to 113,924 and 183,036 is: 294,074.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,924 : 183,036 = 183,036 : x
  2. Step 2: Convert to fraction form
    113,924/183,036 = 183,036/x
  3. Step 3: Cross multiply
    113,924x = 183,036 × 183,036
  4. Step 4: Simplify right side
    113,924x = 33,502,177,296
  5. Step 5: Solve for x
    x = 33,502,177,296/113,924
  6. Step 6: Final answer
    x = 294,074.80

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.