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Finding the Third Proportional to 57,701.25 and 91,290.50

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Solution

The third proportional to 57,701.25 and 91,290.50 is: 144,432.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,701.25 : 91,290.50 = 91,290.50 : x
  2. Step 2: Convert to fraction form
    57,701.25/91,290.50 = 91,290.50/x
  3. Step 3: Cross multiply
    57,701.25x = 91,290.50 × 91,290.50
  4. Step 4: Simplify right side
    57,701.25x = 8,333,955,390.25
  5. Step 5: Solve for x
    x = 8,333,955,390.25/57,701.25
  6. Step 6: Final answer
    x = 144,432.84

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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.