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Finding the Third Proportional to 66,315.74 and 93,745.32

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Solution

The third proportional to 66,315.74 and 93,745.32 is: 132,520.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,315.74 : 93,745.32 = 93,745.32 : x
  2. Step 2: Convert to fraction form
    66,315.74/93,745.32 = 93,745.32/x
  3. Step 3: Cross multiply
    66,315.74x = 93,745.32 × 93,745.32
  4. Step 4: Simplify right side
    66,315.74x = 8,788,184,714.30
  5. Step 5: Solve for x
    x = 8,788,184,714.30/66,315.74
  6. Step 6: Final answer
    x = 132,520.34

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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.