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Finding the Third Proportional to 61,511.91 and 96,368.48

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Solution

The third proportional to 61,511.91 and 96,368.48 is: 150,977.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,511.91 : 96,368.48 = 96,368.48 : x
  2. Step 2: Convert to fraction form
    61,511.91/96,368.48 = 96,368.48/x
  3. Step 3: Cross multiply
    61,511.91x = 96,368.48 × 96,368.48
  4. Step 4: Simplify right side
    61,511.91x = 9,286,884,780.73
  5. Step 5: Solve for x
    x = 9,286,884,780.73/61,511.91
  6. Step 6: Final answer
    x = 150,977.03

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.