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Finding the Third Proportional to 68,267.81 and 148,518.56

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Solution

The third proportional to 68,267.81 and 148,518.56 is: 323,106.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,267.81 : 148,518.56 = 148,518.56 : x
  2. Step 2: Convert to fraction form
    68,267.81/148,518.56 = 148,518.56/x
  3. Step 3: Cross multiply
    68,267.81x = 148,518.56 × 148,518.56
  4. Step 4: Simplify right side
    68,267.81x = 22,057,763,407.07
  5. Step 5: Solve for x
    x = 22,057,763,407.07/68,267.81
  6. Step 6: Final answer
    x = 323,106.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.