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Finding the Third Proportional to 53,826.75 and 117,856.13

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Solution

The third proportional to 53,826.75 and 117,856.13 is: 258,051.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,826.75 : 117,856.13 = 117,856.13 : x
  2. Step 2: Convert to fraction form
    53,826.75/117,856.13 = 117,856.13/x
  3. Step 3: Cross multiply
    53,826.75x = 117,856.13 × 117,856.13
  4. Step 4: Simplify right side
    53,826.75x = 13,890,066,200.02
  5. Step 5: Solve for x
    x = 13,890,066,200.02/53,826.75
  6. Step 6: Final answer
    x = 258,051.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.