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Finding the Third Proportional to 65,989 and 106,246.50

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Solution

The third proportional to 65,989 and 106,246.50 is: 171,063.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,989 : 106,246.50 = 106,246.50 : x
  2. Step 2: Convert to fraction form
    65,989/106,246.50 = 106,246.50/x
  3. Step 3: Cross multiply
    65,989x = 106,246.50 × 106,246.50
  4. Step 4: Simplify right side
    65,989x = 11,288,318,762.25
  5. Step 5: Solve for x
    x = 11,288,318,762.25/65,989
  6. Step 6: Final answer
    x = 171,063.64

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.