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Finding the Third Proportional to 70,489 and 103,786.50

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Solution

The third proportional to 70,489 and 103,786.50 is: 152,813.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,489 : 103,786.50 = 103,786.50 : x
  2. Step 2: Convert to fraction form
    70,489/103,786.50 = 103,786.50/x
  3. Step 3: Cross multiply
    70,489x = 103,786.50 × 103,786.50
  4. Step 4: Simplify right side
    70,489x = 10,771,637,582.25
  5. Step 5: Solve for x
    x = 10,771,637,582.25/70,489
  6. Step 6: Final answer
    x = 152,813.03

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.