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Finding the Third Proportional to 53,712.49 and 118,146.41

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Solution

The third proportional to 53,712.49 and 118,146.41 is: 259,875.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,712.49 : 118,146.41 = 118,146.41 : x
  2. Step 2: Convert to fraction form
    53,712.49/118,146.41 = 118,146.41/x
  3. Step 3: Cross multiply
    53,712.49x = 118,146.41 × 118,146.41
  4. Step 4: Simplify right side
    53,712.49x = 13,958,574,232.81
  5. Step 5: Solve for x
    x = 13,958,574,232.81/53,712.49
  6. Step 6: Final answer
    x = 259,875.75

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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.