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Finding the Third Proportional to 73,754 and 115,239

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Solution

The third proportional to 73,754 and 115,239 is: 180,058.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,754 : 115,239 = 115,239 : x
  2. Step 2: Convert to fraction form
    73,754/115,239 = 115,239/x
  3. Step 3: Cross multiply
    73,754x = 115,239 × 115,239
  4. Step 4: Simplify right side
    73,754x = 13,280,027,121
  5. Step 5: Solve for x
    x = 13,280,027,121/73,754
  6. Step 6: Final answer
    x = 180,058.40

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.