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Finding the Third Proportional to 125,038 and 178,669

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Solution

The third proportional to 125,038 and 178,669 is: 255,303.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,038 : 178,669 = 178,669 : x
  2. Step 2: Convert to fraction form
    125,038/178,669 = 178,669/x
  3. Step 3: Cross multiply
    125,038x = 178,669 × 178,669
  4. Step 4: Simplify right side
    125,038x = 31,922,611,561
  5. Step 5: Solve for x
    x = 31,922,611,561/125,038
  6. Step 6: Final answer
    x = 255,303.28

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.