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Finding the Third Proportional to 65,778 and 96,208.50

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Solution

The third proportional to 65,778 and 96,208.50 is: 140,716.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,778 : 96,208.50 = 96,208.50 : x
  2. Step 2: Convert to fraction form
    65,778/96,208.50 = 96,208.50/x
  3. Step 3: Cross multiply
    65,778x = 96,208.50 × 96,208.50
  4. Step 4: Simplify right side
    65,778x = 9,256,075,472.25
  5. Step 5: Solve for x
    x = 9,256,075,472.25/65,778
  6. Step 6: Final answer
    x = 140,716.89

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.