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Finding the Third Proportional to 61,059 and 96,505.50

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Solution

The third proportional to 61,059 and 96,505.50 is: 152,529.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,059 : 96,505.50 = 96,505.50 : x
  2. Step 2: Convert to fraction form
    61,059/96,505.50 = 96,505.50/x
  3. Step 3: Cross multiply
    61,059x = 96,505.50 × 96,505.50
  4. Step 4: Simplify right side
    61,059x = 9,313,311,530.25
  5. Step 5: Solve for x
    x = 9,313,311,530.25/61,059
  6. Step 6: Final answer
    x = 152,529.71

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.