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Finding the Third Proportional to 109,352 and 158,007

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Solution

The third proportional to 109,352 and 158,007 is: 228,310.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,352 : 158,007 = 158,007 : x
  2. Step 2: Convert to fraction form
    109,352/158,007 = 158,007/x
  3. Step 3: Cross multiply
    109,352x = 158,007 × 158,007
  4. Step 4: Simplify right side
    109,352x = 24,966,212,049
  5. Step 5: Solve for x
    x = 24,966,212,049/109,352
  6. Step 6: Final answer
    x = 228,310.52

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.