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Finding the Third Proportional to 125,938.50 and 191,914.50

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Solution

The third proportional to 125,938.50 and 191,914.50 is: 292,453.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,938.50 : 191,914.50 = 191,914.50 : x
  2. Step 2: Convert to fraction form
    125,938.50/191,914.50 = 191,914.50/x
  3. Step 3: Cross multiply
    125,938.50x = 191,914.50 × 191,914.50
  4. Step 4: Simplify right side
    125,938.50x = 36,831,175,310.25
  5. Step 5: Solve for x
    x = 36,831,175,310.25/125,938.50
  6. Step 6: Final answer
    x = 292,453.66

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.