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Finding the Third Proportional to 59,100 and 128,046

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Solution

The third proportional to 59,100 and 128,046 is: 277,424.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,100 : 128,046 = 128,046 : x
  2. Step 2: Convert to fraction form
    59,100/128,046 = 128,046/x
  3. Step 3: Cross multiply
    59,100x = 128,046 × 128,046
  4. Step 4: Simplify right side
    59,100x = 16,395,778,116
  5. Step 5: Solve for x
    x = 16,395,778,116/59,100
  6. Step 6: Final answer
    x = 277,424.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.