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Finding the Third Proportional to 85,851 and 126,205.50

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Solution

The third proportional to 85,851 and 126,205.50 is: 185,528.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,851 : 126,205.50 = 126,205.50 : x
  2. Step 2: Convert to fraction form
    85,851/126,205.50 = 126,205.50/x
  3. Step 3: Cross multiply
    85,851x = 126,205.50 × 126,205.50
  4. Step 4: Simplify right side
    85,851x = 15,927,828,230.25
  5. Step 5: Solve for x
    x = 15,927,828,230.25/85,851
  6. Step 6: Final answer
    x = 185,528.74

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Why These Related Problems?

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