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Finding the Third Proportional to 127,503.88 and 192,895.63

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Solution

The third proportional to 127,503.88 and 192,895.63 is: 291,824.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,503.88 : 192,895.63 = 192,895.63 : x
  2. Step 2: Convert to fraction form
    127,503.88/192,895.63 = 192,895.63/x
  3. Step 3: Cross multiply
    127,503.88x = 192,895.63 × 192,895.63
  4. Step 4: Simplify right side
    127,503.88x = 37,208,722,144.14
  5. Step 5: Solve for x
    x = 37,208,722,144.14/127,503.88
  6. Step 6: Final answer
    x = 291,824.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.