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Finding the Third Proportional to 121,528 and 181,796

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Solution

The third proportional to 121,528 and 181,796 is: 271,952.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,528 : 181,796 = 181,796 : x
  2. Step 2: Convert to fraction form
    121,528/181,796 = 181,796/x
  3. Step 3: Cross multiply
    121,528x = 181,796 × 181,796
  4. Step 4: Simplify right side
    121,528x = 33,049,785,616
  5. Step 5: Solve for x
    x = 33,049,785,616/121,528
  6. Step 6: Final answer
    x = 271,952.02

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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.