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Finding the Third Proportional to 53,506 and 126,536

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Solution

The third proportional to 53,506 and 126,536 is: 299,244.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,506 : 126,536 = 126,536 : x
  2. Step 2: Convert to fraction form
    53,506/126,536 = 126,536/x
  3. Step 3: Cross multiply
    53,506x = 126,536 × 126,536
  4. Step 4: Simplify right side
    53,506x = 16,011,359,296
  5. Step 5: Solve for x
    x = 16,011,359,296/53,506
  6. Step 6: Final answer
    x = 299,244.18

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.