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Finding the Third Proportional to 84,240 and 120,384

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Solution

The third proportional to 84,240 and 120,384 is: 172,035.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,240 : 120,384 = 120,384 : x
  2. Step 2: Convert to fraction form
    84,240/120,384 = 120,384/x
  3. Step 3: Cross multiply
    84,240x = 120,384 × 120,384
  4. Step 4: Simplify right side
    84,240x = 14,492,307,456
  5. Step 5: Solve for x
    x = 14,492,307,456/84,240
  6. Step 6: Final answer
    x = 172,035.94

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.