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Finding the Third Proportional to 62,507 and 127,335

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Solution

The third proportional to 62,507 and 127,335 is: 259,398.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,507 : 127,335 = 127,335 : x
  2. Step 2: Convert to fraction form
    62,507/127,335 = 127,335/x
  3. Step 3: Cross multiply
    62,507x = 127,335 × 127,335
  4. Step 4: Simplify right side
    62,507x = 16,214,202,225
  5. Step 5: Solve for x
    x = 16,214,202,225/62,507
  6. Step 6: Final answer
    x = 259,398.18

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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.