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Finding the Third Proportional to 58,452 and 90,406

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Solution

The third proportional to 58,452 and 90,406 is: 139,828.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,452 : 90,406 = 90,406 : x
  2. Step 2: Convert to fraction form
    58,452/90,406 = 90,406/x
  3. Step 3: Cross multiply
    58,452x = 90,406 × 90,406
  4. Step 4: Simplify right side
    58,452x = 8,173,244,836
  5. Step 5: Solve for x
    x = 8,173,244,836/58,452
  6. Step 6: Final answer
    x = 139,828.32

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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.