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Finding the Third Proportional to 59,913 and 91,687.50

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Solution

The third proportional to 59,913 and 91,687.50 is: 140,313.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,913 : 91,687.50 = 91,687.50 : x
  2. Step 2: Convert to fraction form
    59,913/91,687.50 = 91,687.50/x
  3. Step 3: Cross multiply
    59,913x = 91,687.50 × 91,687.50
  4. Step 4: Simplify right side
    59,913x = 8,406,597,656.25
  5. Step 5: Solve for x
    x = 8,406,597,656.25/59,913
  6. Step 6: Final answer
    x = 140,313.42

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.