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Finding the Third Proportional to 66,523 and 105,318

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Solution

The third proportional to 66,523 and 105,318 is: 166,737.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,523 : 105,318 = 105,318 : x
  2. Step 2: Convert to fraction form
    66,523/105,318 = 105,318/x
  3. Step 3: Cross multiply
    66,523x = 105,318 × 105,318
  4. Step 4: Simplify right side
    66,523x = 11,091,881,124
  5. Step 5: Solve for x
    x = 11,091,881,124/66,523
  6. Step 6: Final answer
    x = 166,737.54

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.