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Finding the Third Proportional to 58,459 and 128,834

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Solution

The third proportional to 58,459 and 128,834 is: 283,928.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,459 : 128,834 = 128,834 : x
  2. Step 2: Convert to fraction form
    58,459/128,834 = 128,834/x
  3. Step 3: Cross multiply
    58,459x = 128,834 × 128,834
  4. Step 4: Simplify right side
    58,459x = 16,598,199,556
  5. Step 5: Solve for x
    x = 16,598,199,556/58,459
  6. Step 6: Final answer
    x = 283,928.90

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.