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Finding the Third Proportional to 58,345 and 128,036

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Solution

The third proportional to 58,345 and 128,036 is: 280,970.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,345 : 128,036 = 128,036 : x
  2. Step 2: Convert to fraction form
    58,345/128,036 = 128,036/x
  3. Step 3: Cross multiply
    58,345x = 128,036 × 128,036
  4. Step 4: Simplify right side
    58,345x = 16,393,217,296
  5. Step 5: Solve for x
    x = 16,393,217,296/58,345
  6. Step 6: Final answer
    x = 280,970.39

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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.