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Finding the Third Proportional to 58,699.69 and 89,317.69

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Solution

The third proportional to 58,699.69 and 89,317.69 is: 135,906.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,699.69 : 89,317.69 = 89,317.69 : x
  2. Step 2: Convert to fraction form
    58,699.69/89,317.69 = 89,317.69/x
  3. Step 3: Cross multiply
    58,699.69x = 89,317.69 × 89,317.69
  4. Step 4: Simplify right side
    58,699.69x = 7,977,649,300.35
  5. Step 5: Solve for x
    x = 7,977,649,300.35/58,699.69
  6. Step 6: Final answer
    x = 135,906.16

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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.