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Finding the Third Proportional to 57,907.50 and 91,768.25

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Solution

The third proportional to 57,907.50 and 91,768.25 is: 145,428.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,907.50 : 91,768.25 = 91,768.25 : x
  2. Step 2: Convert to fraction form
    57,907.50/91,768.25 = 91,768.25/x
  3. Step 3: Cross multiply
    57,907.50x = 91,768.25 × 91,768.25
  4. Step 4: Simplify right side
    57,907.50x = 8,421,411,708.06
  5. Step 5: Solve for x
    x = 8,421,411,708.06/57,907.50
  6. Step 6: Final answer
    x = 145,428.69

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.