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Finding the Third Proportional to 69,518.25 and 152,573.63

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Solution

The third proportional to 69,518.25 and 152,573.63 is: 334,857.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,518.25 : 152,573.63 = 152,573.63 : x
  2. Step 2: Convert to fraction form
    69,518.25/152,573.63 = 152,573.63/x
  3. Step 3: Cross multiply
    69,518.25x = 152,573.63 × 152,573.63
  4. Step 4: Simplify right side
    69,518.25x = 23,278,711,045.64
  5. Step 5: Solve for x
    x = 23,278,711,045.64/69,518.25
  6. Step 6: Final answer
    x = 334,857.55

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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.