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Finding the Third Proportional to 112,005 and 173,445

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Solution

The third proportional to 112,005 and 173,445 is: 268,587.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,005 : 173,445 = 173,445 : x
  2. Step 2: Convert to fraction form
    112,005/173,445 = 173,445/x
  3. Step 3: Cross multiply
    112,005x = 173,445 × 173,445
  4. Step 4: Simplify right side
    112,005x = 30,083,168,025
  5. Step 5: Solve for x
    x = 30,083,168,025/112,005
  6. Step 6: Final answer
    x = 268,587.72

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.