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Finding the Third Proportional to 46,089 and 65,272.50

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Solution

The third proportional to 46,089 and 65,272.50 is: 92,440.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,089 : 65,272.50 = 65,272.50 : x
  2. Step 2: Convert to fraction form
    46,089/65,272.50 = 65,272.50/x
  3. Step 3: Cross multiply
    46,089x = 65,272.50 × 65,272.50
  4. Step 4: Simplify right side
    46,089x = 4,260,499,256.25
  5. Step 5: Solve for x
    x = 4,260,499,256.25/46,089
  6. Step 6: Final answer
    x = 92,440.70

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.