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Finding the Third Proportional to 76,328 and 112,208

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Solution

The third proportional to 76,328 and 112,208 is: 164,954.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,328 : 112,208 = 112,208 : x
  2. Step 2: Convert to fraction form
    76,328/112,208 = 112,208/x
  3. Step 3: Cross multiply
    76,328x = 112,208 × 112,208
  4. Step 4: Simplify right side
    76,328x = 12,590,635,264
  5. Step 5: Solve for x
    x = 12,590,635,264/76,328
  6. Step 6: Final answer
    x = 164,954.35

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.