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Finding the Third Proportional to 133,070 and 195,710

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Solution

The third proportional to 133,070 and 195,710 is: 287,836.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,070 : 195,710 = 195,710 : x
  2. Step 2: Convert to fraction form
    133,070/195,710 = 195,710/x
  3. Step 3: Cross multiply
    133,070x = 195,710 × 195,710
  4. Step 4: Simplify right side
    133,070x = 38,302,404,100
  5. Step 5: Solve for x
    x = 38,302,404,100/133,070
  6. Step 6: Final answer
    x = 287,836.51

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.