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Finding the Third Proportional to 113,136 and 243,760

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Solution

The third proportional to 113,136 and 243,760 is: 525,199.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,136 : 243,760 = 243,760 : x
  2. Step 2: Convert to fraction form
    113,136/243,760 = 243,760/x
  3. Step 3: Cross multiply
    113,136x = 243,760 × 243,760
  4. Step 4: Simplify right side
    113,136x = 59,418,937,600
  5. Step 5: Solve for x
    x = 59,418,937,600/113,136
  6. Step 6: Final answer
    x = 525,199.21

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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.