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Finding the Third Proportional to 125,037 and 178,672.50

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Solution

The third proportional to 125,037 and 178,672.50 is: 255,315.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,037 : 178,672.50 = 178,672.50 : x
  2. Step 2: Convert to fraction form
    125,037/178,672.50 = 178,672.50/x
  3. Step 3: Cross multiply
    125,037x = 178,672.50 × 178,672.50
  4. Step 4: Simplify right side
    125,037x = 31,923,862,256.25
  5. Step 5: Solve for x
    x = 31,923,862,256.25/125,037
  6. Step 6: Final answer
    x = 255,315.32

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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.