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Finding the Third Proportional to 64,641 and 100,323

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Solution

The third proportional to 64,641 and 100,323 is: 155,701.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,641 : 100,323 = 100,323 : x
  2. Step 2: Convert to fraction form
    64,641/100,323 = 100,323/x
  3. Step 3: Cross multiply
    64,641x = 100,323 × 100,323
  4. Step 4: Simplify right side
    64,641x = 10,064,704,329
  5. Step 5: Solve for x
    x = 10,064,704,329/64,641
  6. Step 6: Final answer
    x = 155,701.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.