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Finding the Third Proportional to 74,160.75 and 153,576

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Solution

The third proportional to 74,160.75 and 153,576 is: 318,033.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,160.75 : 153,576 = 153,576 : x
  2. Step 2: Convert to fraction form
    74,160.75/153,576 = 153,576/x
  3. Step 3: Cross multiply
    74,160.75x = 153,576 × 153,576
  4. Step 4: Simplify right side
    74,160.75x = 23,585,587,776
  5. Step 5: Solve for x
    x = 23,585,587,776/74,160.75
  6. Step 6: Final answer
    x = 318,033.30

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.