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Finding the Third Proportional to 53,895 and 113,370.75

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Solution

The third proportional to 53,895 and 113,370.75 is: 238,480.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,895 : 113,370.75 = 113,370.75 : x
  2. Step 2: Convert to fraction form
    53,895/113,370.75 = 113,370.75/x
  3. Step 3: Cross multiply
    53,895x = 113,370.75 × 113,370.75
  4. Step 4: Simplify right side
    53,895x = 12,852,926,955.56
  5. Step 5: Solve for x
    x = 12,852,926,955.56/53,895
  6. Step 6: Final answer
    x = 238,480.88

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.