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Finding the Third Proportional to 51,984 and 113,840

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Solution

The third proportional to 51,984 and 113,840 is: 249,298.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,984 : 113,840 = 113,840 : x
  2. Step 2: Convert to fraction form
    51,984/113,840 = 113,840/x
  3. Step 3: Cross multiply
    51,984x = 113,840 × 113,840
  4. Step 4: Simplify right side
    51,984x = 12,959,545,600
  5. Step 5: Solve for x
    x = 12,959,545,600/51,984
  6. Step 6: Final answer
    x = 249,298.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.