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Finding the Third Proportional to 127,153.13 and 192,366.56

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Solution

The third proportional to 127,153.13 and 192,366.56 is: 291,026.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,153.13 : 192,366.56 = 192,366.56 : x
  2. Step 2: Convert to fraction form
    127,153.13/192,366.56 = 192,366.56/x
  3. Step 3: Cross multiply
    127,153.13x = 192,366.56 × 192,366.56
  4. Step 4: Simplify right side
    127,153.13x = 37,004,894,368.07
  5. Step 5: Solve for x
    x = 37,004,894,368.07/127,153.13
  6. Step 6: Final answer
    x = 291,026.23

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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.