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Finding the Third Proportional to 58,774 and 89,537

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Solution

The third proportional to 58,774 and 89,537 is: 136,401.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,774 : 89,537 = 89,537 : x
  2. Step 2: Convert to fraction form
    58,774/89,537 = 89,537/x
  3. Step 3: Cross multiply
    58,774x = 89,537 × 89,537
  4. Step 4: Simplify right side
    58,774x = 8,016,874,369
  5. Step 5: Solve for x
    x = 8,016,874,369/58,774
  6. Step 6: Final answer
    x = 136,401.71

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.