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Finding the Third Proportional to 76,503.50 and 84,294.50

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Solution

The third proportional to 76,503.50 and 84,294.50 is: 92,878.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,503.50 : 84,294.50 = 84,294.50 : x
  2. Step 2: Convert to fraction form
    76,503.50/84,294.50 = 84,294.50/x
  3. Step 3: Cross multiply
    76,503.50x = 84,294.50 × 84,294.50
  4. Step 4: Simplify right side
    76,503.50x = 7,105,562,730.25
  5. Step 5: Solve for x
    x = 7,105,562,730.25/76,503.50
  6. Step 6: Final answer
    x = 92,878.92

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.