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Finding the Third Proportional to 80,809.88 and 127,895.63

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Solution

The third proportional to 80,809.88 and 127,895.63 is: 202,416.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,809.88 : 127,895.63 = 127,895.63 : x
  2. Step 2: Convert to fraction form
    80,809.88/127,895.63 = 127,895.63/x
  3. Step 3: Cross multiply
    80,809.88x = 127,895.63 × 127,895.63
  4. Step 4: Simplify right side
    80,809.88x = 16,357,290,894.14
  5. Step 5: Solve for x
    x = 16,357,290,894.14/80,809.88
  6. Step 6: Final answer
    x = 202,416.98

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.