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Finding the Third Proportional to 49,256.86 and 76,425.40

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Solution

The third proportional to 49,256.86 and 76,425.40 is: 118,579.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,256.86 : 76,425.40 = 76,425.40 : x
  2. Step 2: Convert to fraction form
    49,256.86/76,425.40 = 76,425.40/x
  3. Step 3: Cross multiply
    49,256.86x = 76,425.40 × 76,425.40
  4. Step 4: Simplify right side
    49,256.86x = 5,840,841,526.33
  5. Step 5: Solve for x
    x = 5,840,841,526.33/49,256.86
  6. Step 6: Final answer
    x = 118,579.25

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.