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Finding the Third Proportional to 121,634 and 181,964

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Solution

The third proportional to 121,634 and 181,964 is: 272,217.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,634 : 181,964 = 181,964 : x
  2. Step 2: Convert to fraction form
    121,634/181,964 = 181,964/x
  3. Step 3: Cross multiply
    121,634x = 181,964 × 181,964
  4. Step 4: Simplify right side
    121,634x = 33,110,897,296
  5. Step 5: Solve for x
    x = 33,110,897,296/121,634
  6. Step 6: Final answer
    x = 272,217.45

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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.