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Finding the Third Proportional to 82,305 and 120,532.50

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Solution

The third proportional to 82,305 and 120,532.50 is: 176,515.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,305 : 120,532.50 = 120,532.50 : x
  2. Step 2: Convert to fraction form
    82,305/120,532.50 = 120,532.50/x
  3. Step 3: Cross multiply
    82,305x = 120,532.50 × 120,532.50
  4. Step 4: Simplify right side
    82,305x = 14,528,083,556.25
  5. Step 5: Solve for x
    x = 14,528,083,556.25/82,305
  6. Step 6: Final answer
    x = 176,515.20

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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.