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Finding the Third Proportional to 56,546 and 83,091

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Solution

The third proportional to 56,546 and 83,091 is: 122,097.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,546 : 83,091 = 83,091 : x
  2. Step 2: Convert to fraction form
    56,546/83,091 = 83,091/x
  3. Step 3: Cross multiply
    56,546x = 83,091 × 83,091
  4. Step 4: Simplify right side
    56,546x = 6,904,114,281
  5. Step 5: Solve for x
    x = 6,904,114,281/56,546
  6. Step 6: Final answer
    x = 122,097.31

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.