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Finding the Third Proportional to 57,363 and 88,602

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Solution

The third proportional to 57,363 and 88,602 is: 136,853.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,363 : 88,602 = 88,602 : x
  2. Step 2: Convert to fraction form
    57,363/88,602 = 88,602/x
  3. Step 3: Cross multiply
    57,363x = 88,602 × 88,602
  4. Step 4: Simplify right side
    57,363x = 7,850,314,404
  5. Step 5: Solve for x
    x = 7,850,314,404/57,363
  6. Step 6: Final answer
    x = 136,853.27

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.