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Finding the Third Proportional to 58,458.50 and 91,110

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Solution

The third proportional to 58,458.50 and 91,110 is: 141,998.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,458.50 : 91,110 = 91,110 : x
  2. Step 2: Convert to fraction form
    58,458.50/91,110 = 91,110/x
  3. Step 3: Cross multiply
    58,458.50x = 91,110 × 91,110
  4. Step 4: Simplify right side
    58,458.50x = 8,301,032,100
  5. Step 5: Solve for x
    x = 8,301,032,100/58,458.50
  6. Step 6: Final answer
    x = 141,998.72

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.