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Finding the Third Proportional to 46,140.75 and 72,288

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Solution

The third proportional to 46,140.75 and 72,288 is: 113,252.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,140.75 : 72,288 = 72,288 : x
  2. Step 2: Convert to fraction form
    46,140.75/72,288 = 72,288/x
  3. Step 3: Cross multiply
    46,140.75x = 72,288 × 72,288
  4. Step 4: Simplify right side
    46,140.75x = 5,225,554,944
  5. Step 5: Solve for x
    x = 5,225,554,944/46,140.75
  6. Step 6: Final answer
    x = 113,252.49

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.