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Finding the Third Proportional to 125,816 and 170,970

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Solution

The third proportional to 125,816 and 170,970 is: 232,329.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,816 : 170,970 = 170,970 : x
  2. Step 2: Convert to fraction form
    125,816/170,970 = 170,970/x
  3. Step 3: Cross multiply
    125,816x = 170,970 × 170,970
  4. Step 4: Simplify right side
    125,816x = 29,230,740,900
  5. Step 5: Solve for x
    x = 29,230,740,900/125,816
  6. Step 6: Final answer
    x = 232,329.28

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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.