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Finding the Third Proportional to 68,249 and 105,289.50

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Solution

The third proportional to 68,249 and 105,289.50 is: 162,432.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,249 : 105,289.50 = 105,289.50 : x
  2. Step 2: Convert to fraction form
    68,249/105,289.50 = 105,289.50/x
  3. Step 3: Cross multiply
    68,249x = 105,289.50 × 105,289.50
  4. Step 4: Simplify right side
    68,249x = 11,085,878,810.25
  5. Step 5: Solve for x
    x = 11,085,878,810.25/68,249
  6. Step 6: Final answer
    x = 162,432.84

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.