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Finding the Third Proportional to 45,584 and 95,776

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Solution

The third proportional to 45,584 and 95,776 is: 201,233.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,584 : 95,776 = 95,776 : x
  2. Step 2: Convert to fraction form
    45,584/95,776 = 95,776/x
  3. Step 3: Cross multiply
    45,584x = 95,776 × 95,776
  4. Step 4: Simplify right side
    45,584x = 9,173,042,176
  5. Step 5: Solve for x
    x = 9,173,042,176/45,584
  6. Step 6: Final answer
    x = 201,233.81

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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.