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Finding the Third Proportional to 58,011.19 and 123,347.81

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Solution

The third proportional to 58,011.19 and 123,347.81 is: 262,271.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,011.19 : 123,347.81 = 123,347.81 : x
  2. Step 2: Convert to fraction form
    58,011.19/123,347.81 = 123,347.81/x
  3. Step 3: Cross multiply
    58,011.19x = 123,347.81 × 123,347.81
  4. Step 4: Simplify right side
    58,011.19x = 15,214,682,848.54
  5. Step 5: Solve for x
    x = 15,214,682,848.54/58,011.19
  6. Step 6: Final answer
    x = 262,271.53

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.