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Finding the Third Proportional to 70,357.50 and 148,005

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Solution

The third proportional to 70,357.50 and 148,005 is: 311,345.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,357.50 : 148,005 = 148,005 : x
  2. Step 2: Convert to fraction form
    70,357.50/148,005 = 148,005/x
  3. Step 3: Cross multiply
    70,357.50x = 148,005 × 148,005
  4. Step 4: Simplify right side
    70,357.50x = 21,905,480,025
  5. Step 5: Solve for x
    x = 21,905,480,025/70,357.50
  6. Step 6: Final answer
    x = 311,345.34

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.