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Finding the Third Proportional to 84,770 and 114,997

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Solution

The third proportional to 84,770 and 114,997 is: 156,002.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,770 : 114,997 = 114,997 : x
  2. Step 2: Convert to fraction form
    84,770/114,997 = 114,997/x
  3. Step 3: Cross multiply
    84,770x = 114,997 × 114,997
  4. Step 4: Simplify right side
    84,770x = 13,224,310,009
  5. Step 5: Solve for x
    x = 13,224,310,009/84,770
  6. Step 6: Final answer
    x = 156,002.24

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.