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Finding the Third Proportional to 64,515 and 97,745

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Solution

The third proportional to 64,515 and 97,745 is: 148,090.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,515 : 97,745 = 97,745 : x
  2. Step 2: Convert to fraction form
    64,515/97,745 = 97,745/x
  3. Step 3: Cross multiply
    64,515x = 97,745 × 97,745
  4. Step 4: Simplify right side
    64,515x = 9,554,085,025
  5. Step 5: Solve for x
    x = 9,554,085,025/64,515
  6. Step 6: Final answer
    x = 148,090.91

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.