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Finding the Third Proportional to 124,164 and 268,014

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Solution

The third proportional to 124,164 and 268,014 is: 578,521.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,164 : 268,014 = 268,014 : x
  2. Step 2: Convert to fraction form
    124,164/268,014 = 268,014/x
  3. Step 3: Cross multiply
    124,164x = 268,014 × 268,014
  4. Step 4: Simplify right side
    124,164x = 71,831,504,196
  5. Step 5: Solve for x
    x = 71,831,504,196/124,164
  6. Step 6: Final answer
    x = 578,521.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.