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Finding the Third Proportional to 58,592 and 124,954

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Solution

The third proportional to 58,592 and 124,954 is: 266,478.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,592 : 124,954 = 124,954 : x
  2. Step 2: Convert to fraction form
    58,592/124,954 = 124,954/x
  3. Step 3: Cross multiply
    58,592x = 124,954 × 124,954
  4. Step 4: Simplify right side
    58,592x = 15,613,502,116
  5. Step 5: Solve for x
    x = 15,613,502,116/58,592
  6. Step 6: Final answer
    x = 266,478.39

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.