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Finding the Third Proportional to 85,742 and 133,522

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Solution

The third proportional to 85,742 and 133,522 is: 207,927.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,742 : 133,522 = 133,522 : x
  2. Step 2: Convert to fraction form
    85,742/133,522 = 133,522/x
  3. Step 3: Cross multiply
    85,742x = 133,522 × 133,522
  4. Step 4: Simplify right side
    85,742x = 17,828,124,484
  5. Step 5: Solve for x
    x = 17,828,124,484/85,742
  6. Step 6: Final answer
    x = 207,927.56

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.