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Finding the Third Proportional to 145,845.56 and 165,528.56

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Solution

The third proportional to 145,845.56 and 165,528.56 is: 187,867.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,845.56 : 165,528.56 = 165,528.56 : x
  2. Step 2: Convert to fraction form
    145,845.56/165,528.56 = 165,528.56/x
  3. Step 3: Cross multiply
    145,845.56x = 165,528.56 × 165,528.56
  4. Step 4: Simplify right side
    145,845.56x = 27,399,705,003.32
  5. Step 5: Solve for x
    x = 27,399,705,003.32/145,845.56
  6. Step 6: Final answer
    x = 187,867.94

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.