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Finding the Third Proportional to 124,771 and 265,114

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Solution

The third proportional to 124,771 and 265,114 is: 563,315.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,771 : 265,114 = 265,114 : x
  2. Step 2: Convert to fraction form
    124,771/265,114 = 265,114/x
  3. Step 3: Cross multiply
    124,771x = 265,114 × 265,114
  4. Step 4: Simplify right side
    124,771x = 70,285,432,996
  5. Step 5: Solve for x
    x = 70,285,432,996/124,771
  6. Step 6: Final answer
    x = 563,315.46

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.