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Finding the Third Proportional to 74,994 and 105,476

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Solution

The third proportional to 74,994 and 105,476 is: 148,347.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,994 : 105,476 = 105,476 : x
  2. Step 2: Convert to fraction form
    74,994/105,476 = 105,476/x
  3. Step 3: Cross multiply
    74,994x = 105,476 × 105,476
  4. Step 4: Simplify right side
    74,994x = 11,125,186,576
  5. Step 5: Solve for x
    x = 11,125,186,576/74,994
  6. Step 6: Final answer
    x = 148,347.69

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.