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Finding the Third Proportional to 59,462 and 91,858.50

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Solution

The third proportional to 59,462 and 91,858.50 is: 141,905.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,462 : 91,858.50 = 91,858.50 : x
  2. Step 2: Convert to fraction form
    59,462/91,858.50 = 91,858.50/x
  3. Step 3: Cross multiply
    59,462x = 91,858.50 × 91,858.50
  4. Step 4: Simplify right side
    59,462x = 8,437,984,022.25
  5. Step 5: Solve for x
    x = 8,437,984,022.25/59,462
  6. Step 6: Final answer
    x = 141,905.49

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.