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Finding the Third Proportional to 47,752.50 and 97,894.50

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Solution

The third proportional to 47,752.50 and 97,894.50 is: 200,687.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,752.50 : 97,894.50 = 97,894.50 : x
  2. Step 2: Convert to fraction form
    47,752.50/97,894.50 = 97,894.50/x
  3. Step 3: Cross multiply
    47,752.50x = 97,894.50 × 97,894.50
  4. Step 4: Simplify right side
    47,752.50x = 9,583,333,130.25
  5. Step 5: Solve for x
    x = 9,583,333,130.25/47,752.50
  6. Step 6: Final answer
    x = 200,687.57

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.