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Finding the Third Proportional to 74,088 and 153,360

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Solution

The third proportional to 74,088 and 153,360 is: 317,450.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,088 : 153,360 = 153,360 : x
  2. Step 2: Convert to fraction form
    74,088/153,360 = 153,360/x
  3. Step 3: Cross multiply
    74,088x = 153,360 × 153,360
  4. Step 4: Simplify right side
    74,088x = 23,519,289,600
  5. Step 5: Solve for x
    x = 23,519,289,600/74,088
  6. Step 6: Final answer
    x = 317,450.73

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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.