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Finding the Third Proportional to 91,378 and 137,066

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Solution

The third proportional to 91,378 and 137,066 is: 205,597.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,378 : 137,066 = 137,066 : x
  2. Step 2: Convert to fraction form
    91,378/137,066 = 137,066/x
  3. Step 3: Cross multiply
    91,378x = 137,066 × 137,066
  4. Step 4: Simplify right side
    91,378x = 18,787,088,356
  5. Step 5: Solve for x
    x = 18,787,088,356/91,378
  6. Step 6: Final answer
    x = 205,597.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.