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Finding the Third Proportional to 71,855 and 96,664

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Solution

The third proportional to 71,855 and 96,664 is: 130,038.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,855 : 96,664 = 96,664 : x
  2. Step 2: Convert to fraction form
    71,855/96,664 = 96,664/x
  3. Step 3: Cross multiply
    71,855x = 96,664 × 96,664
  4. Step 4: Simplify right side
    71,855x = 9,343,928,896
  5. Step 5: Solve for x
    x = 9,343,928,896/71,855
  6. Step 6: Final answer
    x = 130,038.67

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.