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Finding the Third Proportional to 70,215 and 106,078.50

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Solution

The third proportional to 70,215 and 106,078.50 is: 160,259.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,215 : 106,078.50 = 106,078.50 : x
  2. Step 2: Convert to fraction form
    70,215/106,078.50 = 106,078.50/x
  3. Step 3: Cross multiply
    70,215x = 106,078.50 × 106,078.50
  4. Step 4: Simplify right side
    70,215x = 11,252,648,162.25
  5. Step 5: Solve for x
    x = 11,252,648,162.25/70,215
  6. Step 6: Final answer
    x = 160,259.89

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.