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Finding the Third Proportional to 64,638 and 96,568.13

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Solution

The third proportional to 64,638 and 96,568.13 is: 144,271.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,638 : 96,568.13 = 96,568.13 : x
  2. Step 2: Convert to fraction form
    64,638/96,568.13 = 96,568.13/x
  3. Step 3: Cross multiply
    64,638x = 96,568.13 × 96,568.13
  4. Step 4: Simplify right side
    64,638x = 9,325,402,766.02
  5. Step 5: Solve for x
    x = 9,325,402,766.02/64,638
  6. Step 6: Final answer
    x = 144,271.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.