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Finding the Third Proportional to 51,192.84 and 75,114.84

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Solution

The third proportional to 51,192.84 and 75,114.84 is: 110,215.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,192.84 : 75,114.84 = 75,114.84 : x
  2. Step 2: Convert to fraction form
    51,192.84/75,114.84 = 75,114.84/x
  3. Step 3: Cross multiply
    51,192.84x = 75,114.84 × 75,114.84
  4. Step 4: Simplify right side
    51,192.84x = 5,642,239,751.59
  5. Step 5: Solve for x
    x = 5,642,239,751.59/51,192.84
  6. Step 6: Final answer
    x = 110,215.40

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.