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Finding the Third Proportional to 61,053.75 and 91,464.19

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Solution

The third proportional to 61,053.75 and 91,464.19 is: 137,021.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,053.75 : 91,464.19 = 91,464.19 : x
  2. Step 2: Convert to fraction form
    61,053.75/91,464.19 = 91,464.19/x
  3. Step 3: Cross multiply
    61,053.75x = 91,464.19 × 91,464.19
  4. Step 4: Simplify right side
    61,053.75x = 8,365,697,595.04
  5. Step 5: Solve for x
    x = 8,365,697,595.04/61,053.75
  6. Step 6: Final answer
    x = 137,021.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.