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Finding the Third Proportional to 59,038 and 127,408

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Solution

The third proportional to 59,038 and 127,408 is: 274,955.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,038 : 127,408 = 127,408 : x
  2. Step 2: Convert to fraction form
    59,038/127,408 = 127,408/x
  3. Step 3: Cross multiply
    59,038x = 127,408 × 127,408
  4. Step 4: Simplify right side
    59,038x = 16,232,798,464
  5. Step 5: Solve for x
    x = 16,232,798,464/59,038
  6. Step 6: Final answer
    x = 274,955.09

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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.