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Finding the Third Proportional to 124,297 and 214,026

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Solution

The third proportional to 124,297 and 214,026 is: 368,529.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,297 : 214,026 = 214,026 : x
  2. Step 2: Convert to fraction form
    124,297/214,026 = 214,026/x
  3. Step 3: Cross multiply
    124,297x = 214,026 × 214,026
  4. Step 4: Simplify right side
    124,297x = 45,807,128,676
  5. Step 5: Solve for x
    x = 45,807,128,676/124,297
  6. Step 6: Final answer
    x = 368,529.64

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Why These Related Problems?

These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.