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Finding the Third Proportional to 43,208 and 70,554.50

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Solution

The third proportional to 43,208 and 70,554.50 is: 115,208.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,208 : 70,554.50 = 70,554.50 : x
  2. Step 2: Convert to fraction form
    43,208/70,554.50 = 70,554.50/x
  3. Step 3: Cross multiply
    43,208x = 70,554.50 × 70,554.50
  4. Step 4: Simplify right side
    43,208x = 4,977,937,470.25
  5. Step 5: Solve for x
    x = 4,977,937,470.25/43,208
  6. Step 6: Final answer
    x = 115,208.70

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.