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Finding the Third Proportional to 74,000.25 and 115,539.75

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Solution

The third proportional to 74,000.25 and 115,539.75 is: 180,397.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,000.25 : 115,539.75 = 115,539.75 : x
  2. Step 2: Convert to fraction form
    74,000.25/115,539.75 = 115,539.75/x
  3. Step 3: Cross multiply
    74,000.25x = 115,539.75 × 115,539.75
  4. Step 4: Simplify right side
    74,000.25x = 13,349,433,830.06
  5. Step 5: Solve for x
    x = 13,349,433,830.06/74,000.25
  6. Step 6: Final answer
    x = 180,397.15

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.