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Finding the Third Proportional to 51,009.75 and 84,295.69

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Solution

The third proportional to 51,009.75 and 84,295.69 is: 139,302.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,009.75 : 84,295.69 = 84,295.69 : x
  2. Step 2: Convert to fraction form
    51,009.75/84,295.69 = 84,295.69/x
  3. Step 3: Cross multiply
    51,009.75x = 84,295.69 × 84,295.69
  4. Step 4: Simplify right side
    51,009.75x = 7,105,762,931.10
  5. Step 5: Solve for x
    x = 7,105,762,931.10/51,009.75
  6. Step 6: Final answer
    x = 139,302.05

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These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.