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Finding the Third Proportional to 53,867.69 and 127,567.88

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Solution

The third proportional to 53,867.69 and 127,567.88 is: 302,102.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,867.69 : 127,567.88 = 127,567.88 : x
  2. Step 2: Convert to fraction form
    53,867.69/127,567.88 = 127,567.88/x
  3. Step 3: Cross multiply
    53,867.69x = 127,567.88 × 127,567.88
  4. Step 4: Simplify right side
    53,867.69x = 16,273,564,226.95
  5. Step 5: Solve for x
    x = 16,273,564,226.95/53,867.69
  6. Step 6: Final answer
    x = 302,102.51

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.