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Finding the Third Proportional to 76,863 and 98,212.50

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Solution

The third proportional to 76,863 and 98,212.50 is: 125,492.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,863 : 98,212.50 = 98,212.50 : x
  2. Step 2: Convert to fraction form
    76,863/98,212.50 = 98,212.50/x
  3. Step 3: Cross multiply
    76,863x = 98,212.50 × 98,212.50
  4. Step 4: Simplify right side
    76,863x = 9,645,695,156.25
  5. Step 5: Solve for x
    x = 9,645,695,156.25/76,863
  6. Step 6: Final answer
    x = 125,492.05

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.