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Finding the Third Proportional to 58,856 and 128,648

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Solution

The third proportional to 58,856 and 128,648 is: 281,200.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,856 : 128,648 = 128,648 : x
  2. Step 2: Convert to fraction form
    58,856/128,648 = 128,648/x
  3. Step 3: Cross multiply
    58,856x = 128,648 × 128,648
  4. Step 4: Simplify right side
    58,856x = 16,550,307,904
  5. Step 5: Solve for x
    x = 16,550,307,904/58,856
  6. Step 6: Final answer
    x = 281,200.01

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.