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Finding the Third Proportional to 58,275 and 124,858.50

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Solution

The third proportional to 58,275 and 124,858.50 is: 267,518.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,275 : 124,858.50 = 124,858.50 : x
  2. Step 2: Convert to fraction form
    58,275/124,858.50 = 124,858.50/x
  3. Step 3: Cross multiply
    58,275x = 124,858.50 × 124,858.50
  4. Step 4: Simplify right side
    58,275x = 15,589,645,022.25
  5. Step 5: Solve for x
    x = 15,589,645,022.25/58,275
  6. Step 6: Final answer
    x = 267,518.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.