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Finding the Third Proportional to 58,447.13 and 127,828.50

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Solution

The third proportional to 58,447.13 and 127,828.50 is: 279,571.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,447.13 : 127,828.50 = 127,828.50 : x
  2. Step 2: Convert to fraction form
    58,447.13/127,828.50 = 127,828.50/x
  3. Step 3: Cross multiply
    58,447.13x = 127,828.50 × 127,828.50
  4. Step 4: Simplify right side
    58,447.13x = 16,340,125,412.25
  5. Step 5: Solve for x
    x = 16,340,125,412.25/58,447.13
  6. Step 6: Final answer
    x = 279,571.07

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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.