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Finding the Third Proportional to 70,585 and 106,035

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Solution

The third proportional to 70,585 and 106,035 is: 159,289.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,585 : 106,035 = 106,035 : x
  2. Step 2: Convert to fraction form
    70,585/106,035 = 106,035/x
  3. Step 3: Cross multiply
    70,585x = 106,035 × 106,035
  4. Step 4: Simplify right side
    70,585x = 11,243,421,225
  5. Step 5: Solve for x
    x = 11,243,421,225/70,585
  6. Step 6: Final answer
    x = 159,289.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.