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Finding the Third Proportional to 61,764.19 and 83,895.75

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Solution

The third proportional to 61,764.19 and 83,895.75 is: 113,957.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,764.19 : 83,895.75 = 83,895.75 : x
  2. Step 2: Convert to fraction form
    61,764.19/83,895.75 = 83,895.75/x
  3. Step 3: Cross multiply
    61,764.19x = 83,895.75 × 83,895.75
  4. Step 4: Simplify right side
    61,764.19x = 7,038,496,868.06
  5. Step 5: Solve for x
    x = 7,038,496,868.06/61,764.19
  6. Step 6: Final answer
    x = 113,957.57

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.