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Finding the Third Proportional to 58,521 and 124,014

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Solution

The third proportional to 58,521 and 124,014 is: 262,802.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,521 : 124,014 = 124,014 : x
  2. Step 2: Convert to fraction form
    58,521/124,014 = 124,014/x
  3. Step 3: Cross multiply
    58,521x = 124,014 × 124,014
  4. Step 4: Simplify right side
    58,521x = 15,379,472,196
  5. Step 5: Solve for x
    x = 15,379,472,196/58,521
  6. Step 6: Final answer
    x = 262,802.62

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.