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Finding the Third Proportional to 45,998 and 98,558

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Solution

The third proportional to 45,998 and 98,558 is: 211,176.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,998 : 98,558 = 98,558 : x
  2. Step 2: Convert to fraction form
    45,998/98,558 = 98,558/x
  3. Step 3: Cross multiply
    45,998x = 98,558 × 98,558
  4. Step 4: Simplify right side
    45,998x = 9,713,679,364
  5. Step 5: Solve for x
    x = 9,713,679,364/45,998
  6. Step 6: Final answer
    x = 211,176.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.