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Finding the Third Proportional to 81,045 and 122,683.50

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Solution

The third proportional to 81,045 and 122,683.50 is: 185,714.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,045 : 122,683.50 = 122,683.50 : x
  2. Step 2: Convert to fraction form
    81,045/122,683.50 = 122,683.50/x
  3. Step 3: Cross multiply
    81,045x = 122,683.50 × 122,683.50
  4. Step 4: Simplify right side
    81,045x = 15,051,241,172.25
  5. Step 5: Solve for x
    x = 15,051,241,172.25/81,045
  6. Step 6: Final answer
    x = 185,714.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.