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Finding the Third Proportional to 65,409 and 98,626.13

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Solution

The third proportional to 65,409 and 98,626.13 is: 148,712.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,409 : 98,626.13 = 98,626.13 : x
  2. Step 2: Convert to fraction form
    65,409/98,626.13 = 98,626.13/x
  3. Step 3: Cross multiply
    65,409x = 98,626.13 × 98,626.13
  4. Step 4: Simplify right side
    65,409x = 9,727,112,532.52
  5. Step 5: Solve for x
    x = 9,727,112,532.52/65,409
  6. Step 6: Final answer
    x = 148,712.14

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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.