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Finding the Third Proportional to 66,447 and 105,664.50

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Solution

The third proportional to 66,447 and 105,664.50 is: 168,028.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,447 : 105,664.50 = 105,664.50 : x
  2. Step 2: Convert to fraction form
    66,447/105,664.50 = 105,664.50/x
  3. Step 3: Cross multiply
    66,447x = 105,664.50 × 105,664.50
  4. Step 4: Simplify right side
    66,447x = 11,164,986,560.25
  5. Step 5: Solve for x
    x = 11,164,986,560.25/66,447
  6. Step 6: Final answer
    x = 168,028.45

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.