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Finding the Third Proportional to 121,784 and 182,182

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Solution

The third proportional to 121,784 and 182,182 is: 272,534.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,784 : 182,182 = 182,182 : x
  2. Step 2: Convert to fraction form
    121,784/182,182 = 182,182/x
  3. Step 3: Cross multiply
    121,784x = 182,182 × 182,182
  4. Step 4: Simplify right side
    121,784x = 33,190,281,124
  5. Step 5: Solve for x
    x = 33,190,281,124/121,784
  6. Step 6: Final answer
    x = 272,534.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.