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Finding the Third Proportional to 46,097.86 and 72,000.14

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Solution

The third proportional to 46,097.86 and 72,000.14 is: 112,456.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,097.86 : 72,000.14 = 72,000.14 : x
  2. Step 2: Convert to fraction form
    46,097.86/72,000.14 = 72,000.14/x
  3. Step 3: Cross multiply
    46,097.86x = 72,000.14 × 72,000.14
  4. Step 4: Simplify right side
    46,097.86x = 5,184,020,250.02
  5. Step 5: Solve for x
    x = 5,184,020,250.02/46,097.86
  6. Step 6: Final answer
    x = 112,456.85

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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.