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Finding the Third Proportional to 63,132.75 and 105,208.88

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Solution

The third proportional to 63,132.75 and 105,208.88 is: 175,327.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,132.75 : 105,208.88 = 105,208.88 : x
  2. Step 2: Convert to fraction form
    63,132.75/105,208.88 = 105,208.88/x
  3. Step 3: Cross multiply
    63,132.75x = 105,208.88 × 105,208.88
  4. Step 4: Simplify right side
    63,132.75x = 11,068,907,378.77
  5. Step 5: Solve for x
    x = 11,068,907,378.77/63,132.75
  6. Step 6: Final answer
    x = 175,327.50

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.