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Finding the Third Proportional to 116,579 and 171,039.50

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Solution

The third proportional to 116,579 and 171,039.50 is: 250,941.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,579 : 171,039.50 = 171,039.50 : x
  2. Step 2: Convert to fraction form
    116,579/171,039.50 = 171,039.50/x
  3. Step 3: Cross multiply
    116,579x = 171,039.50 × 171,039.50
  4. Step 4: Simplify right side
    116,579x = 29,254,510,560.25
  5. Step 5: Solve for x
    x = 29,254,510,560.25/116,579
  6. Step 6: Final answer
    x = 250,941.51

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.