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Finding the Third Proportional to 45,340 and 83,228

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Solution

The third proportional to 45,340 and 83,228 is: 152,776.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,340 : 83,228 = 83,228 : x
  2. Step 2: Convert to fraction form
    45,340/83,228 = 83,228/x
  3. Step 3: Cross multiply
    45,340x = 83,228 × 83,228
  4. Step 4: Simplify right side
    45,340x = 6,926,899,984
  5. Step 5: Solve for x
    x = 6,926,899,984/45,340
  6. Step 6: Final answer
    x = 152,776.80

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.