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Finding the Third Proportional to 130,041 and 205,969.50

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Solution

The third proportional to 130,041 and 205,969.50 is: 326,231.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,041 : 205,969.50 = 205,969.50 : x
  2. Step 2: Convert to fraction form
    130,041/205,969.50 = 205,969.50/x
  3. Step 3: Cross multiply
    130,041x = 205,969.50 × 205,969.50
  4. Step 4: Simplify right side
    130,041x = 42,423,434,930.25
  5. Step 5: Solve for x
    x = 42,423,434,930.25/130,041
  6. Step 6: Final answer
    x = 326,231.23

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.