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Finding the Third Proportional to 58,247 and 127,398.50

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Solution

The third proportional to 58,247 and 127,398.50 is: 278,647.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,247 : 127,398.50 = 127,398.50 : x
  2. Step 2: Convert to fraction form
    58,247/127,398.50 = 127,398.50/x
  3. Step 3: Cross multiply
    58,247x = 127,398.50 × 127,398.50
  4. Step 4: Simplify right side
    58,247x = 16,230,377,802.25
  5. Step 5: Solve for x
    x = 16,230,377,802.25/58,247
  6. Step 6: Final answer
    x = 278,647.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.