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Finding the Third Proportional to 115,334 and 147,363

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Solution

The third proportional to 115,334 and 147,363 is: 188,286.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,334 : 147,363 = 147,363 : x
  2. Step 2: Convert to fraction form
    115,334/147,363 = 147,363/x
  3. Step 3: Cross multiply
    115,334x = 147,363 × 147,363
  4. Step 4: Simplify right side
    115,334x = 21,715,853,769
  5. Step 5: Solve for x
    x = 21,715,853,769/115,334
  6. Step 6: Final answer
    x = 188,286.66

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.