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Finding the Third Proportional to 69,088 and 148,004

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Solution

The third proportional to 69,088 and 148,004 is: 317,062.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,088 : 148,004 = 148,004 : x
  2. Step 2: Convert to fraction form
    69,088/148,004 = 148,004/x
  3. Step 3: Cross multiply
    69,088x = 148,004 × 148,004
  4. Step 4: Simplify right side
    69,088x = 21,905,184,016
  5. Step 5: Solve for x
    x = 21,905,184,016/69,088
  6. Step 6: Final answer
    x = 317,062.07

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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.