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Finding the Third Proportional to 69,567 and 93,196.50

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Solution

The third proportional to 69,567 and 93,196.50 is: 124,852.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,567 : 93,196.50 = 93,196.50 : x
  2. Step 2: Convert to fraction form
    69,567/93,196.50 = 93,196.50/x
  3. Step 3: Cross multiply
    69,567x = 93,196.50 × 93,196.50
  4. Step 4: Simplify right side
    69,567x = 8,685,587,612.25
  5. Step 5: Solve for x
    x = 8,685,587,612.25/69,567
  6. Step 6: Final answer
    x = 124,852.12

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.