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Finding the Third Proportional to 65,650.13 and 99,258.19

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Solution

The third proportional to 65,650.13 and 99,258.19 is: 150,071.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,650.13 : 99,258.19 = 99,258.19 : x
  2. Step 2: Convert to fraction form
    65,650.13/99,258.19 = 99,258.19/x
  3. Step 3: Cross multiply
    65,650.13x = 99,258.19 × 99,258.19
  4. Step 4: Simplify right side
    65,650.13x = 9,852,187,785.79
  5. Step 5: Solve for x
    x = 9,852,187,785.79/65,650.13
  6. Step 6: Final answer
    x = 150,071.12

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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.