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Finding the Third Proportional to 45,335 and 98,736

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Solution

The third proportional to 45,335 and 98,736 is: 215,039.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,335 : 98,736 = 98,736 : x
  2. Step 2: Convert to fraction form
    45,335/98,736 = 98,736/x
  3. Step 3: Cross multiply
    45,335x = 98,736 × 98,736
  4. Step 4: Simplify right side
    45,335x = 9,748,797,696
  5. Step 5: Solve for x
    x = 9,748,797,696/45,335
  6. Step 6: Final answer
    x = 215,039.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.