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Finding the Third Proportional to 125,812 and 183,529.50

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Solution

The third proportional to 125,812 and 183,529.50 is: 267,725.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,812 : 183,529.50 = 183,529.50 : x
  2. Step 2: Convert to fraction form
    125,812/183,529.50 = 183,529.50/x
  3. Step 3: Cross multiply
    125,812x = 183,529.50 × 183,529.50
  4. Step 4: Simplify right side
    125,812x = 33,683,077,370.25
  5. Step 5: Solve for x
    x = 33,683,077,370.25/125,812
  6. Step 6: Final answer
    x = 267,725.47

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.