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Finding the Third Proportional to 61,011.75 and 111,898.50

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Solution

The third proportional to 61,011.75 and 111,898.50 is: 205,227.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,011.75 : 111,898.50 = 111,898.50 : x
  2. Step 2: Convert to fraction form
    61,011.75/111,898.50 = 111,898.50/x
  3. Step 3: Cross multiply
    61,011.75x = 111,898.50 × 111,898.50
  4. Step 4: Simplify right side
    61,011.75x = 12,521,274,302.25
  5. Step 5: Solve for x
    x = 12,521,274,302.25/61,011.75
  6. Step 6: Final answer
    x = 205,227.26

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These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.