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Finding the Third Proportional to 70,776 and 96,138

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Solution

The third proportional to 70,776 and 96,138 is: 130,588.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,776 : 96,138 = 96,138 : x
  2. Step 2: Convert to fraction form
    70,776/96,138 = 96,138/x
  3. Step 3: Cross multiply
    70,776x = 96,138 × 96,138
  4. Step 4: Simplify right side
    70,776x = 9,242,515,044
  5. Step 5: Solve for x
    x = 9,242,515,044/70,776
  6. Step 6: Final answer
    x = 130,588.27

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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.