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Finding the Third Proportional to 76,019 and 117,718.50

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Solution

The third proportional to 76,019 and 117,718.50 is: 182,291.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,019 : 117,718.50 = 117,718.50 : x
  2. Step 2: Convert to fraction form
    76,019/117,718.50 = 117,718.50/x
  3. Step 3: Cross multiply
    76,019x = 117,718.50 × 117,718.50
  4. Step 4: Simplify right side
    76,019x = 13,857,645,242.25
  5. Step 5: Solve for x
    x = 13,857,645,242.25/76,019
  6. Step 6: Final answer
    x = 182,291.86

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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.