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Finding the Third Proportional to 96,084 and 149,319

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Solution

The third proportional to 96,084 and 149,319 is: 232,048.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,084 : 149,319 = 149,319 : x
  2. Step 2: Convert to fraction form
    96,084/149,319 = 149,319/x
  3. Step 3: Cross multiply
    96,084x = 149,319 × 149,319
  4. Step 4: Simplify right side
    96,084x = 22,296,163,761
  5. Step 5: Solve for x
    x = 22,296,163,761/96,084
  6. Step 6: Final answer
    x = 232,048.66

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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.