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Finding the Third Proportional to 77,982 and 117,527

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Solution

The third proportional to 77,982 and 117,527 is: 177,125.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,982 : 117,527 = 117,527 : x
  2. Step 2: Convert to fraction form
    77,982/117,527 = 117,527/x
  3. Step 3: Cross multiply
    77,982x = 117,527 × 117,527
  4. Step 4: Simplify right side
    77,982x = 13,812,595,729
  5. Step 5: Solve for x
    x = 13,812,595,729/77,982
  6. Step 6: Final answer
    x = 177,125.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.