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Finding the Third Proportional to 149,127 and 225,862.50

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Solution

The third proportional to 149,127 and 225,862.50 is: 342,083.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,127 : 225,862.50 = 225,862.50 : x
  2. Step 2: Convert to fraction form
    149,127/225,862.50 = 225,862.50/x
  3. Step 3: Cross multiply
    149,127x = 225,862.50 × 225,862.50
  4. Step 4: Simplify right side
    149,127x = 51,013,868,906.25
  5. Step 5: Solve for x
    x = 51,013,868,906.25/149,127
  6. Step 6: Final answer
    x = 342,083.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.