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Finding the Third Proportional to 45,258.75 and 95,548.50

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Solution

The third proportional to 45,258.75 and 95,548.50 is: 201,718.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,258.75 : 95,548.50 = 95,548.50 : x
  2. Step 2: Convert to fraction form
    45,258.75/95,548.50 = 95,548.50/x
  3. Step 3: Cross multiply
    45,258.75x = 95,548.50 × 95,548.50
  4. Step 4: Simplify right side
    45,258.75x = 9,129,515,852.25
  5. Step 5: Solve for x
    x = 9,129,515,852.25/45,258.75
  6. Step 6: Final answer
    x = 201,718.25

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.