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Finding the Third Proportional to 69,303 and 105,412.50

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Solution

The third proportional to 69,303 and 105,412.50 is: 160,336.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,303 : 105,412.50 = 105,412.50 : x
  2. Step 2: Convert to fraction form
    69,303/105,412.50 = 105,412.50/x
  3. Step 3: Cross multiply
    69,303x = 105,412.50 × 105,412.50
  4. Step 4: Simplify right side
    69,303x = 11,111,795,156.25
  5. Step 5: Solve for x
    x = 11,111,795,156.25/69,303
  6. Step 6: Final answer
    x = 160,336.42

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.