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Finding the Third Proportional to 112,664 and 239,152

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Solution

The third proportional to 112,664 and 239,152 is: 507,648.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,664 : 239,152 = 239,152 : x
  2. Step 2: Convert to fraction form
    112,664/239,152 = 239,152/x
  3. Step 3: Cross multiply
    112,664x = 239,152 × 239,152
  4. Step 4: Simplify right side
    112,664x = 57,193,679,104
  5. Step 5: Solve for x
    x = 57,193,679,104/112,664
  6. Step 6: Final answer
    x = 507,648.22

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.