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Finding the Third Proportional to 74,796 and 115,003

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Solution

The third proportional to 74,796 and 115,003 is: 176,823.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,796 : 115,003 = 115,003 : x
  2. Step 2: Convert to fraction form
    74,796/115,003 = 115,003/x
  3. Step 3: Cross multiply
    74,796x = 115,003 × 115,003
  4. Step 4: Simplify right side
    74,796x = 13,225,690,009
  5. Step 5: Solve for x
    x = 13,225,690,009/74,796
  6. Step 6: Final answer
    x = 176,823.49

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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.