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Finding the Third Proportional to 65,402 and 98,103

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Solution

The third proportional to 65,402 and 98,103 is: 147,154.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,402 : 98,103 = 98,103 : x
  2. Step 2: Convert to fraction form
    65,402/98,103 = 98,103/x
  3. Step 3: Cross multiply
    65,402x = 98,103 × 98,103
  4. Step 4: Simplify right side
    65,402x = 9,624,198,609
  5. Step 5: Solve for x
    x = 9,624,198,609/65,402
  6. Step 6: Final answer
    x = 147,154.50

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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.