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Finding the Third Proportional to 55,313 and 85,791

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Solution

The third proportional to 55,313 and 85,791 is: 133,062.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,313 : 85,791 = 85,791 : x
  2. Step 2: Convert to fraction form
    55,313/85,791 = 85,791/x
  3. Step 3: Cross multiply
    55,313x = 85,791 × 85,791
  4. Step 4: Simplify right side
    55,313x = 7,360,095,681
  5. Step 5: Solve for x
    x = 7,360,095,681/55,313
  6. Step 6: Final answer
    x = 133,062.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.