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Finding the Third Proportional to 76,495.50 and 103,065.75

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Solution

The third proportional to 76,495.50 and 103,065.75 is: 138,865.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,495.50 : 103,065.75 = 103,065.75 : x
  2. Step 2: Convert to fraction form
    76,495.50/103,065.75 = 103,065.75/x
  3. Step 3: Cross multiply
    76,495.50x = 103,065.75 × 103,065.75
  4. Step 4: Simplify right side
    76,495.50x = 10,622,548,823.06
  5. Step 5: Solve for x
    x = 10,622,548,823.06/76,495.50
  6. Step 6: Final answer
    x = 138,865.02

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.