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Finding the Third Proportional to 64,738 and 87,466

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Solution

The third proportional to 64,738 and 87,466 is: 118,173.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,738 : 87,466 = 87,466 : x
  2. Step 2: Convert to fraction form
    64,738/87,466 = 87,466/x
  3. Step 3: Cross multiply
    64,738x = 87,466 × 87,466
  4. Step 4: Simplify right side
    64,738x = 7,650,301,156
  5. Step 5: Solve for x
    x = 7,650,301,156/64,738
  6. Step 6: Final answer
    x = 118,173.27

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