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Finding the Third Proportional to 113,128 and 243,740

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Solution

The third proportional to 113,128 and 243,740 is: 525,150.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,128 : 243,740 = 243,740 : x
  2. Step 2: Convert to fraction form
    113,128/243,740 = 243,740/x
  3. Step 3: Cross multiply
    113,128x = 243,740 × 243,740
  4. Step 4: Simplify right side
    113,128x = 59,409,187,600
  5. Step 5: Solve for x
    x = 59,409,187,600/113,128
  6. Step 6: Final answer
    x = 525,150.16

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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.