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Finding the Third Proportional to 73,152 and 110,264

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Solution

The third proportional to 73,152 and 110,264 is: 166,203.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,152 : 110,264 = 110,264 : x
  2. Step 2: Convert to fraction form
    73,152/110,264 = 110,264/x
  3. Step 3: Cross multiply
    73,152x = 110,264 × 110,264
  4. Step 4: Simplify right side
    73,152x = 12,158,149,696
  5. Step 5: Solve for x
    x = 12,158,149,696/73,152
  6. Step 6: Final answer
    x = 166,203.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.