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Finding the Third Proportional to 125,506.50 and 275,810

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Solution

The third proportional to 125,506.50 and 275,810 is: 606,113.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,506.50 : 275,810 = 275,810 : x
  2. Step 2: Convert to fraction form
    125,506.50/275,810 = 275,810/x
  3. Step 3: Cross multiply
    125,506.50x = 275,810 × 275,810
  4. Step 4: Simplify right side
    125,506.50x = 76,071,156,100
  5. Step 5: Solve for x
    x = 76,071,156,100/125,506.50
  6. Step 6: Final answer
    x = 606,113.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.