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Finding the Third Proportional to 71,484 and 105,144

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Solution

The third proportional to 71,484 and 105,144 is: 154,653.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,484 : 105,144 = 105,144 : x
  2. Step 2: Convert to fraction form
    71,484/105,144 = 105,144/x
  3. Step 3: Cross multiply
    71,484x = 105,144 × 105,144
  4. Step 4: Simplify right side
    71,484x = 11,055,260,736
  5. Step 5: Solve for x
    x = 11,055,260,736/71,484
  6. Step 6: Final answer
    x = 154,653.64

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.