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Finding the Third Proportional to 69,503.63 and 152,539.31

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Solution

The third proportional to 69,503.63 and 152,539.31 is: 334,777.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,503.63 : 152,539.31 = 152,539.31 : x
  2. Step 2: Convert to fraction form
    69,503.63/152,539.31 = 152,539.31/x
  3. Step 3: Cross multiply
    69,503.63x = 152,539.31 × 152,539.31
  4. Step 4: Simplify right side
    69,503.63x = 23,268,241,857.97
  5. Step 5: Solve for x
    x = 23,268,241,857.97/69,503.63
  6. Step 6: Final answer
    x = 334,777.39

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.