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Finding the Third Proportional to 71,350 and 104,955.50

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Solution

The third proportional to 71,350 and 104,955.50 is: 154,389.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,350 : 104,955.50 = 104,955.50 : x
  2. Step 2: Convert to fraction form
    71,350/104,955.50 = 104,955.50/x
  3. Step 3: Cross multiply
    71,350x = 104,955.50 × 104,955.50
  4. Step 4: Simplify right side
    71,350x = 11,015,656,980.25
  5. Step 5: Solve for x
    x = 11,015,656,980.25/71,350
  6. Step 6: Final answer
    x = 154,389.03

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.