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Finding the Third Proportional to 65,476 and 98,106

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Solution

The third proportional to 65,476 and 98,106 is: 146,997.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,476 : 98,106 = 98,106 : x
  2. Step 2: Convert to fraction form
    65,476/98,106 = 98,106/x
  3. Step 3: Cross multiply
    65,476x = 98,106 × 98,106
  4. Step 4: Simplify right side
    65,476x = 9,624,787,236
  5. Step 5: Solve for x
    x = 9,624,787,236/65,476
  6. Step 6: Final answer
    x = 146,997.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.