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Finding the Third Proportional to 118,964 and 162,037

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Solution

The third proportional to 118,964 and 162,037 is: 220,705.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,964 : 162,037 = 162,037 : x
  2. Step 2: Convert to fraction form
    118,964/162,037 = 162,037/x
  3. Step 3: Cross multiply
    118,964x = 162,037 × 162,037
  4. Step 4: Simplify right side
    118,964x = 26,255,989,369
  5. Step 5: Solve for x
    x = 26,255,989,369/118,964
  6. Step 6: Final answer
    x = 220,705.33

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.