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Finding the Third Proportional to 53,944.31 and 118,595.81

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Solution

The third proportional to 53,944.31 and 118,595.81 is: 260,731.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,944.31 : 118,595.81 = 118,595.81 : x
  2. Step 2: Convert to fraction form
    53,944.31/118,595.81 = 118,595.81/x
  3. Step 3: Cross multiply
    53,944.31x = 118,595.81 × 118,595.81
  4. Step 4: Simplify right side
    53,944.31x = 14,064,966,742.54
  5. Step 5: Solve for x
    x = 14,064,966,742.54/53,944.31
  6. Step 6: Final answer
    x = 260,731.23

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.