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Finding the Third Proportional to 64,154 and 154,553

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Solution

The third proportional to 64,154 and 154,553 is: 372,332.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,154 : 154,553 = 154,553 : x
  2. Step 2: Convert to fraction form
    64,154/154,553 = 154,553/x
  3. Step 3: Cross multiply
    64,154x = 154,553 × 154,553
  4. Step 4: Simplify right side
    64,154x = 23,886,629,809
  5. Step 5: Solve for x
    x = 23,886,629,809/64,154
  6. Step 6: Final answer
    x = 372,332.67

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.