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Finding the Third Proportional to 43,117 and 64,410

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Solution

The third proportional to 43,117 and 64,410 is: 96,218.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,117 : 64,410 = 64,410 : x
  2. Step 2: Convert to fraction form
    43,117/64,410 = 64,410/x
  3. Step 3: Cross multiply
    43,117x = 64,410 × 64,410
  4. Step 4: Simplify right side
    43,117x = 4,148,648,100
  5. Step 5: Solve for x
    x = 4,148,648,100/43,117
  6. Step 6: Final answer
    x = 96,218.38

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