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Finding the Third Proportional to 69,818 and 150,706

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Solution

The third proportional to 69,818 and 150,706 is: 325,307.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,818 : 150,706 = 150,706 : x
  2. Step 2: Convert to fraction form
    69,818/150,706 = 150,706/x
  3. Step 3: Cross multiply
    69,818x = 150,706 × 150,706
  4. Step 4: Simplify right side
    69,818x = 22,712,298,436
  5. Step 5: Solve for x
    x = 22,712,298,436/69,818
  6. Step 6: Final answer
    x = 325,307.20

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.