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Finding the Third Proportional to 102,506 and 220,064

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Solution

The third proportional to 102,506 and 220,064 is: 472,442.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,506 : 220,064 = 220,064 : x
  2. Step 2: Convert to fraction form
    102,506/220,064 = 220,064/x
  3. Step 3: Cross multiply
    102,506x = 220,064 × 220,064
  4. Step 4: Simplify right side
    102,506x = 48,428,164,096
  5. Step 5: Solve for x
    x = 48,428,164,096/102,506
  6. Step 6: Final answer
    x = 472,442.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.