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Finding the Third Proportional to 69,006 and 147,852

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Solution

The third proportional to 69,006 and 147,852 is: 316,787.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,006 : 147,852 = 147,852 : x
  2. Step 2: Convert to fraction form
    69,006/147,852 = 147,852/x
  3. Step 3: Cross multiply
    69,006x = 147,852 × 147,852
  4. Step 4: Simplify right side
    69,006x = 21,860,213,904
  5. Step 5: Solve for x
    x = 21,860,213,904/69,006
  6. Step 6: Final answer
    x = 316,787.15

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.