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Finding the Third Proportional to 124,010 and 275,572

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Solution

The third proportional to 124,010 and 275,572 is: 612,369.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,010 : 275,572 = 275,572 : x
  2. Step 2: Convert to fraction form
    124,010/275,572 = 275,572/x
  3. Step 3: Cross multiply
    124,010x = 275,572 × 275,572
  4. Step 4: Simplify right side
    124,010x = 75,939,927,184
  5. Step 5: Solve for x
    x = 75,939,927,184/124,010
  6. Step 6: Final answer
    x = 612,369.38

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.