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Finding the Third Proportional to 102,830 and 162,957

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Solution

The third proportional to 102,830 and 162,957 is: 258,241.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,830 : 162,957 = 162,957 : x
  2. Step 2: Convert to fraction form
    102,830/162,957 = 162,957/x
  3. Step 3: Cross multiply
    102,830x = 162,957 × 162,957
  4. Step 4: Simplify right side
    102,830x = 26,554,983,849
  5. Step 5: Solve for x
    x = 26,554,983,849/102,830
  6. Step 6: Final answer
    x = 258,241.60

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.