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Finding the Third Proportional to 105,644 and 232,024

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Solution

The third proportional to 105,644 and 232,024 is: 509,590.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,644 : 232,024 = 232,024 : x
  2. Step 2: Convert to fraction form
    105,644/232,024 = 232,024/x
  3. Step 3: Cross multiply
    105,644x = 232,024 × 232,024
  4. Step 4: Simplify right side
    105,644x = 53,835,136,576
  5. Step 5: Solve for x
    x = 53,835,136,576/105,644
  6. Step 6: Final answer
    x = 509,590.10

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.