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Finding the Third Proportional to 53,503.88 and 126,531.70

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Solution

The third proportional to 53,503.88 and 126,531.70 is: 299,235.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,503.88 : 126,531.70 = 126,531.70 : x
  2. Step 2: Convert to fraction form
    53,503.88/126,531.70 = 126,531.70/x
  3. Step 3: Cross multiply
    53,503.88x = 126,531.70 × 126,531.70
  4. Step 4: Simplify right side
    53,503.88x = 16,010,271,895.71
  5. Step 5: Solve for x
    x = 16,010,271,895.71/53,503.88
  6. Step 6: Final answer
    x = 299,235.74

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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.