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Finding the Third Proportional to 61,236 and 96,774.75

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Solution

The third proportional to 61,236 and 96,774.75 is: 152,938.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,236 : 96,774.75 = 96,774.75 : x
  2. Step 2: Convert to fraction form
    61,236/96,774.75 = 96,774.75/x
  3. Step 3: Cross multiply
    61,236x = 96,774.75 × 96,774.75
  4. Step 4: Simplify right side
    61,236x = 9,365,352,237.56
  5. Step 5: Solve for x
    x = 9,365,352,237.56/61,236
  6. Step 6: Final answer
    x = 152,938.67

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.