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Finding the Third Proportional to 58,929 and 127,270.50

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Solution

The third proportional to 58,929 and 127,270.50 is: 274,869.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,929 : 127,270.50 = 127,270.50 : x
  2. Step 2: Convert to fraction form
    58,929/127,270.50 = 127,270.50/x
  3. Step 3: Cross multiply
    58,929x = 127,270.50 × 127,270.50
  4. Step 4: Simplify right side
    58,929x = 16,197,780,170.25
  5. Step 5: Solve for x
    x = 16,197,780,170.25/58,929
  6. Step 6: Final answer
    x = 274,869.42

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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.