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Finding the Third Proportional to 65,106 and 98,356

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Solution

The third proportional to 65,106 and 98,356 is: 148,586.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,106 : 98,356 = 98,356 : x
  2. Step 2: Convert to fraction form
    65,106/98,356 = 98,356/x
  3. Step 3: Cross multiply
    65,106x = 98,356 × 98,356
  4. Step 4: Simplify right side
    65,106x = 9,673,902,736
  5. Step 5: Solve for x
    x = 9,673,902,736/65,106
  6. Step 6: Final answer
    x = 148,586.96

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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.