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Finding the Third Proportional to 97,959.75 and 146,559.94

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Solution

The third proportional to 97,959.75 and 146,559.94 is: 219,271.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,959.75 : 146,559.94 = 146,559.94 : x
  2. Step 2: Convert to fraction form
    97,959.75/146,559.94 = 146,559.94/x
  3. Step 3: Cross multiply
    97,959.75x = 146,559.94 × 146,559.94
  4. Step 4: Simplify right side
    97,959.75x = 21,479,815,280.00
  5. Step 5: Solve for x
    x = 21,479,815,280.00/97,959.75
  6. Step 6: Final answer
    x = 219,271.85

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Why These Related Problems?

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