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Finding the Third Proportional to 73,097 and 112,887

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Solution

The third proportional to 73,097 and 112,887 is: 174,336.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,097 : 112,887 = 112,887 : x
  2. Step 2: Convert to fraction form
    73,097/112,887 = 112,887/x
  3. Step 3: Cross multiply
    73,097x = 112,887 × 112,887
  4. Step 4: Simplify right side
    73,097x = 12,743,474,769
  5. Step 5: Solve for x
    x = 12,743,474,769/73,097
  6. Step 6: Final answer
    x = 174,336.49

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.