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Finding the Third Proportional to 65,004 and 98,306

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Solution

The third proportional to 65,004 and 98,306 is: 148,668.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,004 : 98,306 = 98,306 : x
  2. Step 2: Convert to fraction form
    65,004/98,306 = 98,306/x
  3. Step 3: Cross multiply
    65,004x = 98,306 × 98,306
  4. Step 4: Simplify right side
    65,004x = 9,664,069,636
  5. Step 5: Solve for x
    x = 9,664,069,636/65,004
  6. Step 6: Final answer
    x = 148,668.85

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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.