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Finding the Third Proportional to 58,985 and 128,337

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Solution

The third proportional to 58,985 and 128,337 is: 279,230.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,985 : 128,337 = 128,337 : x
  2. Step 2: Convert to fraction form
    58,985/128,337 = 128,337/x
  3. Step 3: Cross multiply
    58,985x = 128,337 × 128,337
  4. Step 4: Simplify right side
    58,985x = 16,470,385,569
  5. Step 5: Solve for x
    x = 16,470,385,569/58,985
  6. Step 6: Final answer
    x = 279,230.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.