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Finding the Third Proportional to 56,903 and 89,251.50

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Solution

The third proportional to 56,903 and 89,251.50 is: 139,989.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,903 : 89,251.50 = 89,251.50 : x
  2. Step 2: Convert to fraction form
    56,903/89,251.50 = 89,251.50/x
  3. Step 3: Cross multiply
    56,903x = 89,251.50 × 89,251.50
  4. Step 4: Simplify right side
    56,903x = 7,965,830,252.25
  5. Step 5: Solve for x
    x = 7,965,830,252.25/56,903
  6. Step 6: Final answer
    x = 139,989.64

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.