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Finding the Third Proportional to 91,773 and 134,338.50

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Solution

The third proportional to 91,773 and 134,338.50 is: 196,646.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,773 : 134,338.50 = 134,338.50 : x
  2. Step 2: Convert to fraction form
    91,773/134,338.50 = 134,338.50/x
  3. Step 3: Cross multiply
    91,773x = 134,338.50 × 134,338.50
  4. Step 4: Simplify right side
    91,773x = 18,046,832,582.25
  5. Step 5: Solve for x
    x = 18,046,832,582.25/91,773
  6. Step 6: Final answer
    x = 196,646.43

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.