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Finding the Third Proportional to 70,278.75 and 148,708.13

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Solution

The third proportional to 70,278.75 and 148,708.13 is: 314,662.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,278.75 : 148,708.13 = 148,708.13 : x
  2. Step 2: Convert to fraction form
    70,278.75/148,708.13 = 148,708.13/x
  3. Step 3: Cross multiply
    70,278.75x = 148,708.13 × 148,708.13
  4. Step 4: Simplify right side
    70,278.75x = 22,114,106,441.02
  5. Step 5: Solve for x
    x = 22,114,106,441.02/70,278.75
  6. Step 6: Final answer
    x = 314,662.77

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.