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Finding the Third Proportional to 121,776 and 182,169

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Solution

The third proportional to 121,776 and 182,169 is: 272,513.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,776 : 182,169 = 182,169 : x
  2. Step 2: Convert to fraction form
    121,776/182,169 = 182,169/x
  3. Step 3: Cross multiply
    121,776x = 182,169 × 182,169
  4. Step 4: Simplify right side
    121,776x = 33,185,544,561
  5. Step 5: Solve for x
    x = 33,185,544,561/121,776
  6. Step 6: Final answer
    x = 272,513.01

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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.