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Finding the Third Proportional to 57,460.50 and 89,194.50

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Solution

The third proportional to 57,460.50 and 89,194.50 is: 138,454.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,460.50 : 89,194.50 = 89,194.50 : x
  2. Step 2: Convert to fraction form
    57,460.50/89,194.50 = 89,194.50/x
  3. Step 3: Cross multiply
    57,460.50x = 89,194.50 × 89,194.50
  4. Step 4: Simplify right side
    57,460.50x = 7,955,658,830.25
  5. Step 5: Solve for x
    x = 7,955,658,830.25/57,460.50
  6. Step 6: Final answer
    x = 138,454.40

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.