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Finding the Third Proportional to 45,558.75 and 95,724

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Solution

The third proportional to 45,558.75 and 95,724 is: 201,126.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,558.75 : 95,724 = 95,724 : x
  2. Step 2: Convert to fraction form
    45,558.75/95,724 = 95,724/x
  3. Step 3: Cross multiply
    45,558.75x = 95,724 × 95,724
  4. Step 4: Simplify right side
    45,558.75x = 9,163,084,176
  5. Step 5: Solve for x
    x = 9,163,084,176/45,558.75
  6. Step 6: Final answer
    x = 201,126.77

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.