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Finding the Third Proportional to 113,058 and 243,423

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Solution

The third proportional to 113,058 and 243,423 is: 524,109.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,058 : 243,423 = 243,423 : x
  2. Step 2: Convert to fraction form
    113,058/243,423 = 243,423/x
  3. Step 3: Cross multiply
    113,058x = 243,423 × 243,423
  4. Step 4: Simplify right side
    113,058x = 59,254,756,929
  5. Step 5: Solve for x
    x = 59,254,756,929/113,058
  6. Step 6: Final answer
    x = 524,109.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.