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Finding the Third Proportional to 59,707 and 128,738

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Solution

The third proportional to 59,707 and 128,738 is: 277,580.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,707 : 128,738 = 128,738 : x
  2. Step 2: Convert to fraction form
    59,707/128,738 = 128,738/x
  3. Step 3: Cross multiply
    59,707x = 128,738 × 128,738
  4. Step 4: Simplify right side
    59,707x = 16,573,472,644
  5. Step 5: Solve for x
    x = 16,573,472,644/59,707
  6. Step 6: Final answer
    x = 277,580.06

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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.