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Finding the Third Proportional to 61,516.13 and 91,044

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Solution

The third proportional to 61,516.13 and 91,044 is: 134,745.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,516.13 : 91,044 = 91,044 : x
  2. Step 2: Convert to fraction form
    61,516.13/91,044 = 91,044/x
  3. Step 3: Cross multiply
    61,516.13x = 91,044 × 91,044
  4. Step 4: Simplify right side
    61,516.13x = 8,289,009,936
  5. Step 5: Solve for x
    x = 8,289,009,936/61,516.13
  6. Step 6: Final answer
    x = 134,745.32

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.