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Finding the Third Proportional to 45,252 and 97,791.75

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Solution

The third proportional to 45,252 and 97,791.75 is: 211,332.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,252 : 97,791.75 = 97,791.75 : x
  2. Step 2: Convert to fraction form
    45,252/97,791.75 = 97,791.75/x
  3. Step 3: Cross multiply
    45,252x = 97,791.75 × 97,791.75
  4. Step 4: Simplify right side
    45,252x = 9,563,226,368.06
  5. Step 5: Solve for x
    x = 9,563,226,368.06/45,252
  6. Step 6: Final answer
    x = 211,332.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.