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Finding the Third Proportional to 75,282 and 110,845.50

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Solution

The third proportional to 75,282 and 110,845.50 is: 163,209.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,282 : 110,845.50 = 110,845.50 : x
  2. Step 2: Convert to fraction form
    75,282/110,845.50 = 110,845.50/x
  3. Step 3: Cross multiply
    75,282x = 110,845.50 × 110,845.50
  4. Step 4: Simplify right side
    75,282x = 12,286,724,870.25
  5. Step 5: Solve for x
    x = 12,286,724,870.25/75,282
  6. Step 6: Final answer
    x = 163,209.33

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