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Finding the Third Proportional to 121,463.93 and 194,053.54

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Solution

The third proportional to 121,463.93 and 194,053.54 is: 310,024.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,463.93 : 194,053.54 = 194,053.54 : x
  2. Step 2: Convert to fraction form
    121,463.93/194,053.54 = 194,053.54/x
  3. Step 3: Cross multiply
    121,463.93x = 194,053.54 × 194,053.54
  4. Step 4: Simplify right side
    121,463.93x = 37,656,774,506.64
  5. Step 5: Solve for x
    x = 37,656,774,506.64/121,463.93
  6. Step 6: Final answer
    x = 310,024.34

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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.