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Finding the Third Proportional to 107,652 and 160,246

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Solution

The third proportional to 107,652 and 160,246 is: 238,535.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,652 : 160,246 = 160,246 : x
  2. Step 2: Convert to fraction form
    107,652/160,246 = 160,246/x
  3. Step 3: Cross multiply
    107,652x = 160,246 × 160,246
  4. Step 4: Simplify right side
    107,652x = 25,678,780,516
  5. Step 5: Solve for x
    x = 25,678,780,516/107,652
  6. Step 6: Final answer
    x = 238,535.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.