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Finding the Third Proportional to 82,515 and 120,244.50

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Solution

The third proportional to 82,515 and 120,244.50 is: 175,225.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,515 : 120,244.50 = 120,244.50 : x
  2. Step 2: Convert to fraction form
    82,515/120,244.50 = 120,244.50/x
  3. Step 3: Cross multiply
    82,515x = 120,244.50 × 120,244.50
  4. Step 4: Simplify right side
    82,515x = 14,458,739,780.25
  5. Step 5: Solve for x
    x = 14,458,739,780.25/82,515
  6. Step 6: Final answer
    x = 175,225.59

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.