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Finding the Third Proportional to 76,305 and 118,291.50

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Solution

The third proportional to 76,305 and 118,291.50 is: 183,380.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,305 : 118,291.50 = 118,291.50 : x
  2. Step 2: Convert to fraction form
    76,305/118,291.50 = 118,291.50/x
  3. Step 3: Cross multiply
    76,305x = 118,291.50 × 118,291.50
  4. Step 4: Simplify right side
    76,305x = 13,992,878,972.25
  5. Step 5: Solve for x
    x = 13,992,878,972.25/76,305
  6. Step 6: Final answer
    x = 183,380.89

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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.