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Finding the Third Proportional to 120,226 and 257,129

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Solution

The third proportional to 120,226 and 257,129 is: 549,925.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,226 : 257,129 = 257,129 : x
  2. Step 2: Convert to fraction form
    120,226/257,129 = 257,129/x
  3. Step 3: Cross multiply
    120,226x = 257,129 × 257,129
  4. Step 4: Simplify right side
    120,226x = 66,115,322,641
  5. Step 5: Solve for x
    x = 66,115,322,641/120,226
  6. Step 6: Final answer
    x = 549,925.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.