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Finding the Third Proportional to 125,999.50 and 194,953.50

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Solution

The third proportional to 125,999.50 and 194,953.50 is: 301,643.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,999.50 : 194,953.50 = 194,953.50 : x
  2. Step 2: Convert to fraction form
    125,999.50/194,953.50 = 194,953.50/x
  3. Step 3: Cross multiply
    125,999.50x = 194,953.50 × 194,953.50
  4. Step 4: Simplify right side
    125,999.50x = 38,006,867,162.25
  5. Step 5: Solve for x
    x = 38,006,867,162.25/125,999.50
  6. Step 6: Final answer
    x = 301,643.00

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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.