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Finding the Third Proportional to 52,038 and 121,419

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Solution

The third proportional to 52,038 and 121,419 is: 283,304.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,038 : 121,419 = 121,419 : x
  2. Step 2: Convert to fraction form
    52,038/121,419 = 121,419/x
  3. Step 3: Cross multiply
    52,038x = 121,419 × 121,419
  4. Step 4: Simplify right side
    52,038x = 14,742,573,561
  5. Step 5: Solve for x
    x = 14,742,573,561/52,038
  6. Step 6: Final answer
    x = 283,304.00

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.