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Finding the Third Proportional to 125,638.50 and 194,290.50

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Solution

The third proportional to 125,638.50 and 194,290.50 is: 300,455.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,638.50 : 194,290.50 = 194,290.50 : x
  2. Step 2: Convert to fraction form
    125,638.50/194,290.50 = 194,290.50/x
  3. Step 3: Cross multiply
    125,638.50x = 194,290.50 × 194,290.50
  4. Step 4: Simplify right side
    125,638.50x = 37,748,798,390.25
  5. Step 5: Solve for x
    x = 37,748,798,390.25/125,638.50
  6. Step 6: Final answer
    x = 300,455.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.