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Finding the Third Proportional to 53,482.50 and 77,085

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Solution

The third proportional to 53,482.50 and 77,085 is: 111,103.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,482.50 : 77,085 = 77,085 : x
  2. Step 2: Convert to fraction form
    53,482.50/77,085 = 77,085/x
  3. Step 3: Cross multiply
    53,482.50x = 77,085 × 77,085
  4. Step 4: Simplify right side
    53,482.50x = 5,942,097,225
  5. Step 5: Solve for x
    x = 5,942,097,225/53,482.50
  6. Step 6: Final answer
    x = 111,103.58

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.