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Finding the Third Proportional to 59,324 and 127,886

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Solution

The third proportional to 59,324 and 127,886 is: 275,686.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,324 : 127,886 = 127,886 : x
  2. Step 2: Convert to fraction form
    59,324/127,886 = 127,886/x
  3. Step 3: Cross multiply
    59,324x = 127,886 × 127,886
  4. Step 4: Simplify right side
    59,324x = 16,354,828,996
  5. Step 5: Solve for x
    x = 16,354,828,996/59,324
  6. Step 6: Final answer
    x = 275,686.55

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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.