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Finding the Third Proportional to 62,526 and 127,365

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Solution

The third proportional to 62,526 and 127,365 is: 259,441.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,526 : 127,365 = 127,365 : x
  2. Step 2: Convert to fraction form
    62,526/127,365 = 127,365/x
  3. Step 3: Cross multiply
    62,526x = 127,365 × 127,365
  4. Step 4: Simplify right side
    62,526x = 16,221,843,225
  5. Step 5: Solve for x
    x = 16,221,843,225/62,526
  6. Step 6: Final answer
    x = 259,441.56

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.