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Finding the Third Proportional to 70,485.19 and 148,830.75

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Solution

The third proportional to 70,485.19 and 148,830.75 is: 314,258.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,485.19 : 148,830.75 = 148,830.75 : x
  2. Step 2: Convert to fraction form
    70,485.19/148,830.75 = 148,830.75/x
  3. Step 3: Cross multiply
    70,485.19x = 148,830.75 × 148,830.75
  4. Step 4: Simplify right side
    70,485.19x = 22,150,592,145.56
  5. Step 5: Solve for x
    x = 22,150,592,145.56/70,485.19
  6. Step 6: Final answer
    x = 314,258.82

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.