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Finding the Third Proportional to 121,466 and 194,057

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Solution

The third proportional to 121,466 and 194,057 is: 310,030.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,466 : 194,057 = 194,057 : x
  2. Step 2: Convert to fraction form
    121,466/194,057 = 194,057/x
  3. Step 3: Cross multiply
    121,466x = 194,057 × 194,057
  4. Step 4: Simplify right side
    121,466x = 37,658,119,249
  5. Step 5: Solve for x
    x = 37,658,119,249/121,466
  6. Step 6: Final answer
    x = 310,030.13

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.