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Finding the Third Proportional to 120,964 and 181,566

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Solution

The third proportional to 120,964 and 181,566 is: 272,529.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,964 : 181,566 = 181,566 : x
  2. Step 2: Convert to fraction form
    120,964/181,566 = 181,566/x
  3. Step 3: Cross multiply
    120,964x = 181,566 × 181,566
  4. Step 4: Simplify right side
    120,964x = 32,966,212,356
  5. Step 5: Solve for x
    x = 32,966,212,356/120,964
  6. Step 6: Final answer
    x = 272,529.12

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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.