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Finding the Third Proportional to 115,710.75 and 174,798.56

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Solution

The third proportional to 115,710.75 and 174,798.56 is: 264,059.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,710.75 : 174,798.56 = 174,798.56 : x
  2. Step 2: Convert to fraction form
    115,710.75/174,798.56 = 174,798.56/x
  3. Step 3: Cross multiply
    115,710.75x = 174,798.56 × 174,798.56
  4. Step 4: Simplify right side
    115,710.75x = 30,554,537,452.07
  5. Step 5: Solve for x
    x = 30,554,537,452.07/115,710.75
  6. Step 6: Final answer
    x = 264,059.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.