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Finding the Third Proportional to 73,854.75 and 114,575.63

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Solution

The third proportional to 73,854.75 and 114,575.63 is: 177,748.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,854.75 : 114,575.63 = 114,575.63 : x
  2. Step 2: Convert to fraction form
    73,854.75/114,575.63 = 114,575.63/x
  3. Step 3: Cross multiply
    73,854.75x = 114,575.63 × 114,575.63
  4. Step 4: Simplify right side
    73,854.75x = 13,127,573,844.14
  5. Step 5: Solve for x
    x = 13,127,573,844.14/73,854.75
  6. Step 6: Final answer
    x = 177,748.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.