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Finding the Third Proportional to 130,320 and 192,024

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Solution

The third proportional to 130,320 and 192,024 is: 282,943.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,320 : 192,024 = 192,024 : x
  2. Step 2: Convert to fraction form
    130,320/192,024 = 192,024/x
  3. Step 3: Cross multiply
    130,320x = 192,024 × 192,024
  4. Step 4: Simplify right side
    130,320x = 36,873,216,576
  5. Step 5: Solve for x
    x = 36,873,216,576/130,320
  6. Step 6: Final answer
    x = 282,943.65

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.