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Finding the Third Proportional to 64,897 and 97,345

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Solution

The third proportional to 64,897 and 97,345 is: 146,016.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,897 : 97,345 = 97,345 : x
  2. Step 2: Convert to fraction form
    64,897/97,345 = 97,345/x
  3. Step 3: Cross multiply
    64,897x = 97,345 × 97,345
  4. Step 4: Simplify right side
    64,897x = 9,476,049,025
  5. Step 5: Solve for x
    x = 9,476,049,025/64,897
  6. Step 6: Final answer
    x = 146,016.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.