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Finding the Third Proportional to 84,320 and 112,832

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Solution

The third proportional to 84,320 and 112,832 is: 150,985.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,320 : 112,832 = 112,832 : x
  2. Step 2: Convert to fraction form
    84,320/112,832 = 112,832/x
  3. Step 3: Cross multiply
    84,320x = 112,832 × 112,832
  4. Step 4: Simplify right side
    84,320x = 12,731,060,224
  5. Step 5: Solve for x
    x = 12,731,060,224/84,320
  6. Step 6: Final answer
    x = 150,985.06

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.