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Finding the Third Proportional to 112,654.13 and 175,442.63

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Solution

The third proportional to 112,654.13 and 175,442.63 is: 273,226.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,654.13 : 175,442.63 = 175,442.63 : x
  2. Step 2: Convert to fraction form
    112,654.13/175,442.63 = 175,442.63/x
  3. Step 3: Cross multiply
    112,654.13x = 175,442.63 × 175,442.63
  4. Step 4: Simplify right side
    112,654.13x = 30,780,114,666.89
  5. Step 5: Solve for x
    x = 30,780,114,666.89/112,654.13
  6. Step 6: Final answer
    x = 273,226.70

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.