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Finding the Third Proportional to 67,699 and 105,868.50

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Solution

The third proportional to 67,699 and 105,868.50 is: 165,558.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,699 : 105,868.50 = 105,868.50 : x
  2. Step 2: Convert to fraction form
    67,699/105,868.50 = 105,868.50/x
  3. Step 3: Cross multiply
    67,699x = 105,868.50 × 105,868.50
  4. Step 4: Simplify right side
    67,699x = 11,208,139,292.25
  5. Step 5: Solve for x
    x = 11,208,139,292.25/67,699
  6. Step 6: Final answer
    x = 165,558.42

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.