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Finding the Third Proportional to 103,842 and 243,135

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Solution

The third proportional to 103,842 and 243,135 is: 569,274.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,842 : 243,135 = 243,135 : x
  2. Step 2: Convert to fraction form
    103,842/243,135 = 243,135/x
  3. Step 3: Cross multiply
    103,842x = 243,135 × 243,135
  4. Step 4: Simplify right side
    103,842x = 59,114,628,225
  5. Step 5: Solve for x
    x = 59,114,628,225/103,842
  6. Step 6: Final answer
    x = 569,274.75

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.