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Finding the Third Proportional to 119,712 and 177,252

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Solution

The third proportional to 119,712 and 177,252 is: 262,448.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,712 : 177,252 = 177,252 : x
  2. Step 2: Convert to fraction form
    119,712/177,252 = 177,252/x
  3. Step 3: Cross multiply
    119,712x = 177,252 × 177,252
  4. Step 4: Simplify right side
    119,712x = 31,418,271,504
  5. Step 5: Solve for x
    x = 31,418,271,504/119,712
  6. Step 6: Final answer
    x = 262,448.81

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.