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Finding the Third Proportional to 65,740 and 96,511

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Solution

The third proportional to 65,740 and 96,511 is: 141,685.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,740 : 96,511 = 96,511 : x
  2. Step 2: Convert to fraction form
    65,740/96,511 = 96,511/x
  3. Step 3: Cross multiply
    65,740x = 96,511 × 96,511
  4. Step 4: Simplify right side
    65,740x = 9,314,373,121
  5. Step 5: Solve for x
    x = 9,314,373,121/65,740
  6. Step 6: Final answer
    x = 141,685.02

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.