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Finding the Third Proportional to 58,446.56 and 127,828.13

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Solution

The third proportional to 58,446.56 and 127,828.13 is: 279,572.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,446.56 : 127,828.13 = 127,828.13 : x
  2. Step 2: Convert to fraction form
    58,446.56/127,828.13 = 127,828.13/x
  3. Step 3: Cross multiply
    58,446.56x = 127,828.13 × 127,828.13
  4. Step 4: Simplify right side
    58,446.56x = 16,340,029,541.02
  5. Step 5: Solve for x
    x = 16,340,029,541.02/58,446.56
  6. Step 6: Final answer
    x = 279,572.12

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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.