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Finding the Third Proportional to 75,319.50 and 163,759.50

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Solution

The third proportional to 75,319.50 and 163,759.50 is: 356,045.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,319.50 : 163,759.50 = 163,759.50 : x
  2. Step 2: Convert to fraction form
    75,319.50/163,759.50 = 163,759.50/x
  3. Step 3: Cross multiply
    75,319.50x = 163,759.50 × 163,759.50
  4. Step 4: Simplify right side
    75,319.50x = 26,817,173,840.25
  5. Step 5: Solve for x
    x = 26,817,173,840.25/75,319.50
  6. Step 6: Final answer
    x = 356,045.56

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.