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Finding the Third Proportional to 69,129 and 148,050

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Solution

The third proportional to 69,129 and 148,050 is: 317,071.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,129 : 148,050 = 148,050 : x
  2. Step 2: Convert to fraction form
    69,129/148,050 = 148,050/x
  3. Step 3: Cross multiply
    69,129x = 148,050 × 148,050
  4. Step 4: Simplify right side
    69,129x = 21,918,802,500
  5. Step 5: Solve for x
    x = 21,918,802,500/69,129
  6. Step 6: Final answer
    x = 317,071.02

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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.