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Finding the Third Proportional to 114,258 and 162,395

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Solution

The third proportional to 114,258 and 162,395 is: 230,812.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,258 : 162,395 = 162,395 : x
  2. Step 2: Convert to fraction form
    114,258/162,395 = 162,395/x
  3. Step 3: Cross multiply
    114,258x = 162,395 × 162,395
  4. Step 4: Simplify right side
    114,258x = 26,372,136,025
  5. Step 5: Solve for x
    x = 26,372,136,025/114,258
  6. Step 6: Final answer
    x = 230,812.16

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.