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Finding the Third Proportional to 74,058.75 and 107,726.50

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Solution

The third proportional to 74,058.75 and 107,726.50 is: 156,699.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,058.75 : 107,726.50 = 107,726.50 : x
  2. Step 2: Convert to fraction form
    74,058.75/107,726.50 = 107,726.50/x
  3. Step 3: Cross multiply
    74,058.75x = 107,726.50 × 107,726.50
  4. Step 4: Simplify right side
    74,058.75x = 11,604,998,802.25
  5. Step 5: Solve for x
    x = 11,604,998,802.25/74,058.75
  6. Step 6: Final answer
    x = 156,699.90

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.