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Finding the Third Proportional to 103,644 and 160,046

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Solution

The third proportional to 103,644 and 160,046 is: 247,141.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,644 : 160,046 = 160,046 : x
  2. Step 2: Convert to fraction form
    103,644/160,046 = 160,046/x
  3. Step 3: Cross multiply
    103,644x = 160,046 × 160,046
  4. Step 4: Simplify right side
    103,644x = 25,614,722,116
  5. Step 5: Solve for x
    x = 25,614,722,116/103,644
  6. Step 6: Final answer
    x = 247,141.39

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.