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Finding the Third Proportional to 115,570.50 and 172,890

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Solution

The third proportional to 115,570.50 and 172,890 is: 258,638.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,570.50 : 172,890 = 172,890 : x
  2. Step 2: Convert to fraction form
    115,570.50/172,890 = 172,890/x
  3. Step 3: Cross multiply
    115,570.50x = 172,890 × 172,890
  4. Step 4: Simplify right side
    115,570.50x = 29,890,952,100
  5. Step 5: Solve for x
    x = 29,890,952,100/115,570.50
  6. Step 6: Final answer
    x = 258,638.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.