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Finding the Third Proportional to 45,905 and 98,506

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Solution

The third proportional to 45,905 and 98,506 is: 211,380.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,905 : 98,506 = 98,506 : x
  2. Step 2: Convert to fraction form
    45,905/98,506 = 98,506/x
  3. Step 3: Cross multiply
    45,905x = 98,506 × 98,506
  4. Step 4: Simplify right side
    45,905x = 9,703,432,036
  5. Step 5: Solve for x
    x = 9,703,432,036/45,905
  6. Step 6: Final answer
    x = 211,380.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.