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Finding the Third Proportional to 42,785 and 93,202

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Solution

The third proportional to 42,785 and 93,202 is: 203,029.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,785 : 93,202 = 93,202 : x
  2. Step 2: Convert to fraction form
    42,785/93,202 = 93,202/x
  3. Step 3: Cross multiply
    42,785x = 93,202 × 93,202
  4. Step 4: Simplify right side
    42,785x = 8,686,612,804
  5. Step 5: Solve for x
    x = 8,686,612,804/42,785
  6. Step 6: Final answer
    x = 203,029.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.