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Finding the Third Proportional to 59,127 and 136,739

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Solution

The third proportional to 59,127 and 136,739 is: 316,227.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,127 : 136,739 = 136,739 : x
  2. Step 2: Convert to fraction form
    59,127/136,739 = 136,739/x
  3. Step 3: Cross multiply
    59,127x = 136,739 × 136,739
  4. Step 4: Simplify right side
    59,127x = 18,697,554,121
  5. Step 5: Solve for x
    x = 18,697,554,121/59,127
  6. Step 6: Final answer
    x = 316,227.00

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.