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Finding the Third Proportional to 45,754 and 73,066

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Solution

The third proportional to 45,754 and 73,066 is: 116,681.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,754 : 73,066 = 73,066 : x
  2. Step 2: Convert to fraction form
    45,754/73,066 = 73,066/x
  3. Step 3: Cross multiply
    45,754x = 73,066 × 73,066
  4. Step 4: Simplify right side
    45,754x = 5,338,640,356
  5. Step 5: Solve for x
    x = 5,338,640,356/45,754
  6. Step 6: Final answer
    x = 116,681.39

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.