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Finding the Third Proportional to 98,901 and 157,241

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Solution

The third proportional to 98,901 and 157,241 is: 249,994.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,901 : 157,241 = 157,241 : x
  2. Step 2: Convert to fraction form
    98,901/157,241 = 157,241/x
  3. Step 3: Cross multiply
    98,901x = 157,241 × 157,241
  4. Step 4: Simplify right side
    98,901x = 24,724,732,081
  5. Step 5: Solve for x
    x = 24,724,732,081/98,901
  6. Step 6: Final answer
    x = 249,994.76

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.