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Finding the Third Proportional to 124,032 and 169,848

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Solution

The third proportional to 124,032 and 169,848 is: 232,587.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,032 : 169,848 = 169,848 : x
  2. Step 2: Convert to fraction form
    124,032/169,848 = 169,848/x
  3. Step 3: Cross multiply
    124,032x = 169,848 × 169,848
  4. Step 4: Simplify right side
    124,032x = 28,848,343,104
  5. Step 5: Solve for x
    x = 28,848,343,104/124,032
  6. Step 6: Final answer
    x = 232,587.91

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.