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Finding the Third Proportional to 84,442.50 and 118,766.25

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Solution

The third proportional to 84,442.50 and 118,766.25 is: 167,041.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,442.50 : 118,766.25 = 118,766.25 : x
  2. Step 2: Convert to fraction form
    84,442.50/118,766.25 = 118,766.25/x
  3. Step 3: Cross multiply
    84,442.50x = 118,766.25 × 118,766.25
  4. Step 4: Simplify right side
    84,442.50x = 14,105,422,139.06
  5. Step 5: Solve for x
    x = 14,105,422,139.06/84,442.50
  6. Step 6: Final answer
    x = 167,041.74

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.