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Finding the Third Proportional to 76,747.50 and 118,401.75

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Solution

The third proportional to 76,747.50 and 118,401.75 is: 182,663.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,747.50 : 118,401.75 = 118,401.75 : x
  2. Step 2: Convert to fraction form
    76,747.50/118,401.75 = 118,401.75/x
  3. Step 3: Cross multiply
    76,747.50x = 118,401.75 × 118,401.75
  4. Step 4: Simplify right side
    76,747.50x = 14,018,974,403.06
  5. Step 5: Solve for x
    x = 14,018,974,403.06/76,747.50
  6. Step 6: Final answer
    x = 182,663.60

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.