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Finding the Third Proportional to 55,701 and 91,438.50

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Solution

The third proportional to 55,701 and 91,438.50 is: 150,105.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,701 : 91,438.50 = 91,438.50 : x
  2. Step 2: Convert to fraction form
    55,701/91,438.50 = 91,438.50/x
  3. Step 3: Cross multiply
    55,701x = 91,438.50 × 91,438.50
  4. Step 4: Simplify right side
    55,701x = 8,360,999,282.25
  5. Step 5: Solve for x
    x = 8,360,999,282.25/55,701
  6. Step 6: Final answer
    x = 150,105.01

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Why These Related Problems?

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