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Finding the Third Proportional to 102,158 and 162,344

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Solution

The third proportional to 102,158 and 162,344 is: 257,988.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,158 : 162,344 = 162,344 : x
  2. Step 2: Convert to fraction form
    102,158/162,344 = 162,344/x
  3. Step 3: Cross multiply
    102,158x = 162,344 × 162,344
  4. Step 4: Simplify right side
    102,158x = 26,355,574,336
  5. Step 5: Solve for x
    x = 26,355,574,336/102,158
  6. Step 6: Final answer
    x = 257,988.35

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.