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Finding the Third Proportional to 84,770 and 124,114

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Solution

The third proportional to 84,770 and 124,114 is: 181,718.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,770 : 124,114 = 124,114 : x
  2. Step 2: Convert to fraction form
    84,770/124,114 = 124,114/x
  3. Step 3: Cross multiply
    84,770x = 124,114 × 124,114
  4. Step 4: Simplify right side
    84,770x = 15,404,284,996
  5. Step 5: Solve for x
    x = 15,404,284,996/84,770
  6. Step 6: Final answer
    x = 181,718.59

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.