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Finding the Third Proportional to 45,005 and 98,486

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Solution

The third proportional to 45,005 and 98,486 is: 215,520.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,005 : 98,486 = 98,486 : x
  2. Step 2: Convert to fraction form
    45,005/98,486 = 98,486/x
  3. Step 3: Cross multiply
    45,005x = 98,486 × 98,486
  4. Step 4: Simplify right side
    45,005x = 9,699,492,196
  5. Step 5: Solve for x
    x = 9,699,492,196/45,005
  6. Step 6: Final answer
    x = 215,520.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.