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Finding the Third Proportional to 64,152 and 154,354.36

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Solution

The third proportional to 64,152 and 154,354.36 is: 371,387.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,152 : 154,354.36 = 154,354.36 : x
  2. Step 2: Convert to fraction form
    64,152/154,354.36 = 154,354.36/x
  3. Step 3: Cross multiply
    64,152x = 154,354.36 × 154,354.36
  4. Step 4: Simplify right side
    64,152x = 23,825,268,258.07
  5. Step 5: Solve for x
    x = 23,825,268,258.07/64,152
  6. Step 6: Final answer
    x = 371,387.77

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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.