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Finding the Third Proportional to 55,711.50 and 91,455

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Solution

The third proportional to 55,711.50 and 91,455 is: 150,130.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,711.50 : 91,455 = 91,455 : x
  2. Step 2: Convert to fraction form
    55,711.50/91,455 = 91,455/x
  3. Step 3: Cross multiply
    55,711.50x = 91,455 × 91,455
  4. Step 4: Simplify right side
    55,711.50x = 8,364,017,025
  5. Step 5: Solve for x
    x = 8,364,017,025/55,711.50
  6. Step 6: Final answer
    x = 150,130.89

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These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.