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Finding the Third Proportional to 58,221.38 and 118,583.81

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Solution

The third proportional to 58,221.38 and 118,583.81 is: 241,528.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,221.38 : 118,583.81 = 118,583.81 : x
  2. Step 2: Convert to fraction form
    58,221.38/118,583.81 = 118,583.81/x
  3. Step 3: Cross multiply
    58,221.38x = 118,583.81 × 118,583.81
  4. Step 4: Simplify right side
    58,221.38x = 14,062,120,587.04
  5. Step 5: Solve for x
    x = 14,062,120,587.04/58,221.38
  6. Step 6: Final answer
    x = 241,528.49

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.