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Finding the Third Proportional to 57,465 and 89,204.50

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Solution

The third proportional to 57,465 and 89,204.50 is: 138,474.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,465 : 89,204.50 = 89,204.50 : x
  2. Step 2: Convert to fraction form
    57,465/89,204.50 = 89,204.50/x
  3. Step 3: Cross multiply
    57,465x = 89,204.50 × 89,204.50
  4. Step 4: Simplify right side
    57,465x = 7,957,442,820.25
  5. Step 5: Solve for x
    x = 7,957,442,820.25/57,465
  6. Step 6: Final answer
    x = 138,474.60

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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.