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Finding the Third Proportional to 74,058.75 and 105,829.88

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Solution

The third proportional to 74,058.75 and 105,829.88 is: 151,230.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,058.75 : 105,829.88 = 105,829.88 : x
  2. Step 2: Convert to fraction form
    74,058.75/105,829.88 = 105,829.88/x
  3. Step 3: Cross multiply
    74,058.75x = 105,829.88 × 105,829.88
  4. Step 4: Simplify right side
    74,058.75x = 11,199,962,442.52
  5. Step 5: Solve for x
    x = 11,199,962,442.52/74,058.75
  6. Step 6: Final answer
    x = 151,230.78

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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.