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Finding the Third Proportional to 45,009 and 95,566.50

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Solution

The third proportional to 45,009 and 95,566.50 is: 202,913.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,009 : 95,566.50 = 95,566.50 : x
  2. Step 2: Convert to fraction form
    45,009/95,566.50 = 95,566.50/x
  3. Step 3: Cross multiply
    45,009x = 95,566.50 × 95,566.50
  4. Step 4: Simplify right side
    45,009x = 9,132,955,922.25
  5. Step 5: Solve for x
    x = 9,132,955,922.25/45,009
  6. Step 6: Final answer
    x = 202,913.99

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.