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Finding the Third Proportional to 103,060 and 238,602

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Solution

The third proportional to 103,060 and 238,602 is: 552,405.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,060 : 238,602 = 238,602 : x
  2. Step 2: Convert to fraction form
    103,060/238,602 = 238,602/x
  3. Step 3: Cross multiply
    103,060x = 238,602 × 238,602
  4. Step 4: Simplify right side
    103,060x = 56,930,914,404
  5. Step 5: Solve for x
    x = 56,930,914,404/103,060
  6. Step 6: Final answer
    x = 552,405.53

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.