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Finding the Third Proportional to 69,004 and 147,848

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Solution

The third proportional to 69,004 and 147,848 is: 316,779.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,004 : 147,848 = 147,848 : x
  2. Step 2: Convert to fraction form
    69,004/147,848 = 147,848/x
  3. Step 3: Cross multiply
    69,004x = 147,848 × 147,848
  4. Step 4: Simplify right side
    69,004x = 21,859,031,104
  5. Step 5: Solve for x
    x = 21,859,031,104/69,004
  6. Step 6: Final answer
    x = 316,779.19

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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.