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Finding the Third Proportional to 131,475 and 196,986

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Solution

The third proportional to 131,475 and 196,986 is: 295,139.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,475 : 196,986 = 196,986 : x
  2. Step 2: Convert to fraction form
    131,475/196,986 = 196,986/x
  3. Step 3: Cross multiply
    131,475x = 196,986 × 196,986
  4. Step 4: Simplify right side
    131,475x = 38,803,484,196
  5. Step 5: Solve for x
    x = 38,803,484,196/131,475
  6. Step 6: Final answer
    x = 295,139.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.