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Finding the Third Proportional to 61,438.50 and 91,773

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Solution

The third proportional to 61,438.50 and 91,773 is: 137,084.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,438.50 : 91,773 = 91,773 : x
  2. Step 2: Convert to fraction form
    61,438.50/91,773 = 91,773/x
  3. Step 3: Cross multiply
    61,438.50x = 91,773 × 91,773
  4. Step 4: Simplify right side
    61,438.50x = 8,422,283,529
  5. Step 5: Solve for x
    x = 8,422,283,529/61,438.50
  6. Step 6: Final answer
    x = 137,084.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.