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Finding the Third Proportional to 58,905 and 127,150

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Solution

The third proportional to 58,905 and 127,150 is: 274,460.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,905 : 127,150 = 127,150 : x
  2. Step 2: Convert to fraction form
    58,905/127,150 = 127,150/x
  3. Step 3: Cross multiply
    58,905x = 127,150 × 127,150
  4. Step 4: Simplify right side
    58,905x = 16,167,122,500
  5. Step 5: Solve for x
    x = 16,167,122,500/58,905
  6. Step 6: Final answer
    x = 274,460.95

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