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Finding the Third Proportional to 58,466 and 124,220

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Solution

The third proportional to 58,466 and 124,220 is: 263,924.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,466 : 124,220 = 124,220 : x
  2. Step 2: Convert to fraction form
    58,466/124,220 = 124,220/x
  3. Step 3: Cross multiply
    58,466x = 124,220 × 124,220
  4. Step 4: Simplify right side
    58,466x = 15,430,608,400
  5. Step 5: Solve for x
    x = 15,430,608,400/58,466
  6. Step 6: Final answer
    x = 263,924.48

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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.