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Finding the Third Proportional to 48,064 and 105,484

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Solution

The third proportional to 48,064 and 105,484 is: 231,501.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,064 : 105,484 = 105,484 : x
  2. Step 2: Convert to fraction form
    48,064/105,484 = 105,484/x
  3. Step 3: Cross multiply
    48,064x = 105,484 × 105,484
  4. Step 4: Simplify right side
    48,064x = 11,126,874,256
  5. Step 5: Solve for x
    x = 11,126,874,256/48,064
  6. Step 6: Final answer
    x = 231,501.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.