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Finding the Third Proportional to 75,023.72 and 115,655.34

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Solution

The third proportional to 75,023.72 and 115,655.34 is: 178,292.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,023.72 : 115,655.34 = 115,655.34 : x
  2. Step 2: Convert to fraction form
    75,023.72/115,655.34 = 115,655.34/x
  3. Step 3: Cross multiply
    75,023.72x = 115,655.34 × 115,655.34
  4. Step 4: Simplify right side
    75,023.72x = 13,376,158,537.93
  5. Step 5: Solve for x
    x = 13,376,158,537.93/75,023.72
  6. Step 6: Final answer
    x = 178,292.40

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.