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Finding the Third Proportional to 130,032 and 176,616

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Solution

The third proportional to 130,032 and 176,616 is: 239,888.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,032 : 176,616 = 176,616 : x
  2. Step 2: Convert to fraction form
    130,032/176,616 = 176,616/x
  3. Step 3: Cross multiply
    130,032x = 176,616 × 176,616
  4. Step 4: Simplify right side
    130,032x = 31,193,211,456
  5. Step 5: Solve for x
    x = 31,193,211,456/130,032
  6. Step 6: Final answer
    x = 239,888.73

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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.