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Finding the Third Proportional to 102,756.50 and 153,716.50

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Solution

The third proportional to 102,756.50 and 153,716.50 is: 229,949.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,756.50 : 153,716.50 = 153,716.50 : x
  2. Step 2: Convert to fraction form
    102,756.50/153,716.50 = 153,716.50/x
  3. Step 3: Cross multiply
    102,756.50x = 153,716.50 × 153,716.50
  4. Step 4: Simplify right side
    102,756.50x = 23,628,762,372.25
  5. Step 5: Solve for x
    x = 23,628,762,372.25/102,756.50
  6. Step 6: Final answer
    x = 229,949.08

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