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Finding the Third Proportional to 64,914 and 98,241

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Solution

The third proportional to 64,914 and 98,241 is: 148,678.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,914 : 98,241 = 98,241 : x
  2. Step 2: Convert to fraction form
    64,914/98,241 = 98,241/x
  3. Step 3: Cross multiply
    64,914x = 98,241 × 98,241
  4. Step 4: Simplify right side
    64,914x = 9,651,294,081
  5. Step 5: Solve for x
    x = 9,651,294,081/64,914
  6. Step 6: Final answer
    x = 148,678.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.