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Finding the Third Proportional to 49,402 and 106,580

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Solution

The third proportional to 49,402 and 106,580 is: 229,935.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,402 : 106,580 = 106,580 : x
  2. Step 2: Convert to fraction form
    49,402/106,580 = 106,580/x
  3. Step 3: Cross multiply
    49,402x = 106,580 × 106,580
  4. Step 4: Simplify right side
    49,402x = 11,359,296,400
  5. Step 5: Solve for x
    x = 11,359,296,400/49,402
  6. Step 6: Final answer
    x = 229,935.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.