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Finding the Third Proportional to 65,011.50 and 103,438.50

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Solution

The third proportional to 65,011.50 and 103,438.50 is: 164,578.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,011.50 : 103,438.50 = 103,438.50 : x
  2. Step 2: Convert to fraction form
    65,011.50/103,438.50 = 103,438.50/x
  3. Step 3: Cross multiply
    65,011.50x = 103,438.50 × 103,438.50
  4. Step 4: Simplify right side
    65,011.50x = 10,699,523,282.25
  5. Step 5: Solve for x
    x = 10,699,523,282.25/65,011.50
  6. Step 6: Final answer
    x = 164,578.93

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.