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Finding the Third Proportional to 112,157.34 and 172,393.88

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Solution

The third proportional to 112,157.34 and 172,393.88 is: 264,981.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,157.34 : 172,393.88 = 172,393.88 : x
  2. Step 2: Convert to fraction form
    112,157.34/172,393.88 = 172,393.88/x
  3. Step 3: Cross multiply
    112,157.34x = 172,393.88 × 172,393.88
  4. Step 4: Simplify right side
    112,157.34x = 29,719,648,137.52
  5. Step 5: Solve for x
    x = 29,719,648,137.52/112,157.34
  6. Step 6: Final answer
    x = 264,981.74

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