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Finding the Third Proportional to 74,058.75 and 105,830.13

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Solution

The third proportional to 74,058.75 and 105,830.13 is: 151,231.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,058.75 : 105,830.13 = 105,830.13 : x
  2. Step 2: Convert to fraction form
    74,058.75/105,830.13 = 105,830.13/x
  3. Step 3: Cross multiply
    74,058.75x = 105,830.13 × 105,830.13
  4. Step 4: Simplify right side
    74,058.75x = 11,200,015,357.52
  5. Step 5: Solve for x
    x = 11,200,015,357.52/74,058.75
  6. Step 6: Final answer
    x = 151,231.49

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.