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Finding the Third Proportional to 85,216 and 133,386

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Solution

The third proportional to 85,216 and 133,386 is: 208,785.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,216 : 133,386 = 133,386 : x
  2. Step 2: Convert to fraction form
    85,216/133,386 = 133,386/x
  3. Step 3: Cross multiply
    85,216x = 133,386 × 133,386
  4. Step 4: Simplify right side
    85,216x = 17,791,824,996
  5. Step 5: Solve for x
    x = 17,791,824,996/85,216
  6. Step 6: Final answer
    x = 208,785.03

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Why These Related Problems?

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