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Finding the Third Proportional to 69,027.19 and 106,063.31

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Solution

The third proportional to 69,027.19 and 106,063.31 is: 162,970.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,027.19 : 106,063.31 = 106,063.31 : x
  2. Step 2: Convert to fraction form
    69,027.19/106,063.31 = 106,063.31/x
  3. Step 3: Cross multiply
    69,027.19x = 106,063.31 × 106,063.31
  4. Step 4: Simplify right side
    69,027.19x = 11,249,426,258.47
  5. Step 5: Solve for x
    x = 11,249,426,258.47/69,027.19
  6. Step 6: Final answer
    x = 162,970.95

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.