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Finding the Third Proportional to 53,265.68 and 118,355.09

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Solution

The third proportional to 53,265.68 and 118,355.09 is: 262,982.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,265.68 : 118,355.09 = 118,355.09 : x
  2. Step 2: Convert to fraction form
    53,265.68/118,355.09 = 118,355.09/x
  3. Step 3: Cross multiply
    53,265.68x = 118,355.09 × 118,355.09
  4. Step 4: Simplify right side
    53,265.68x = 14,007,927,320.82
  5. Step 5: Solve for x
    x = 14,007,927,320.82/53,265.68
  6. Step 6: Final answer
    x = 262,982.24

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.