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Finding the Third Proportional to 125,451 and 196,762.50

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Solution

The third proportional to 125,451 and 196,762.50 is: 308,610.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,451 : 196,762.50 = 196,762.50 : x
  2. Step 2: Convert to fraction form
    125,451/196,762.50 = 196,762.50/x
  3. Step 3: Cross multiply
    125,451x = 196,762.50 × 196,762.50
  4. Step 4: Simplify right side
    125,451x = 38,715,481,406.25
  5. Step 5: Solve for x
    x = 38,715,481,406.25/125,451
  6. Step 6: Final answer
    x = 308,610.38

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.