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Finding the Third Proportional to 69,618.38 and 142,925.63

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Solution

The third proportional to 69,618.38 and 142,925.63 is: 293,424.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,618.38 : 142,925.63 = 142,925.63 : x
  2. Step 2: Convert to fraction form
    69,618.38/142,925.63 = 142,925.63/x
  3. Step 3: Cross multiply
    69,618.38x = 142,925.63 × 142,925.63
  4. Step 4: Simplify right side
    69,618.38x = 20,427,734,281.64
  5. Step 5: Solve for x
    x = 20,427,734,281.64/69,618.38
  6. Step 6: Final answer
    x = 293,424.46

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.