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Finding the Third Proportional to 58,846.13 and 127,351.50

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Solution

The third proportional to 58,846.13 and 127,351.50 is: 275,607.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,846.13 : 127,351.50 = 127,351.50 : x
  2. Step 2: Convert to fraction form
    58,846.13/127,351.50 = 127,351.50/x
  3. Step 3: Cross multiply
    58,846.13x = 127,351.50 × 127,351.50
  4. Step 4: Simplify right side
    58,846.13x = 16,218,404,552.25
  5. Step 5: Solve for x
    x = 16,218,404,552.25/58,846.13
  6. Step 6: Final answer
    x = 275,607.01

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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.