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Finding the Third Proportional to 70,878 and 102,124.50

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Solution

The third proportional to 70,878 and 102,124.50 is: 147,145.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,878 : 102,124.50 = 102,124.50 : x
  2. Step 2: Convert to fraction form
    70,878/102,124.50 = 102,124.50/x
  3. Step 3: Cross multiply
    70,878x = 102,124.50 × 102,124.50
  4. Step 4: Simplify right side
    70,878x = 10,429,413,500.25
  5. Step 5: Solve for x
    x = 10,429,413,500.25/70,878
  6. Step 6: Final answer
    x = 147,145.99

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.