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Finding the Third Proportional to 58,052 and 89,697

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Solution

The third proportional to 58,052 and 89,697 is: 138,592.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,052 : 89,697 = 89,697 : x
  2. Step 2: Convert to fraction form
    58,052/89,697 = 89,697/x
  3. Step 3: Cross multiply
    58,052x = 89,697 × 89,697
  4. Step 4: Simplify right side
    58,052x = 8,045,551,809
  5. Step 5: Solve for x
    x = 8,045,551,809/58,052
  6. Step 6: Final answer
    x = 138,592.16

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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.