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Finding the Third Proportional to 56,903 and 86,141

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Solution

The third proportional to 56,903 and 86,141 is: 130,402.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,903 : 86,141 = 86,141 : x
  2. Step 2: Convert to fraction form
    56,903/86,141 = 86,141/x
  3. Step 3: Cross multiply
    56,903x = 86,141 × 86,141
  4. Step 4: Simplify right side
    56,903x = 7,420,271,881
  5. Step 5: Solve for x
    x = 7,420,271,881/56,903
  6. Step 6: Final answer
    x = 130,402.12

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.