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Finding the Third Proportional to 64,597 and 138,537

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Solution

The third proportional to 64,597 and 138,537 is: 297,111.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,597 : 138,537 = 138,537 : x
  2. Step 2: Convert to fraction form
    64,597/138,537 = 138,537/x
  3. Step 3: Cross multiply
    64,597x = 138,537 × 138,537
  4. Step 4: Simplify right side
    64,597x = 19,192,500,369
  5. Step 5: Solve for x
    x = 19,192,500,369/64,597
  6. Step 6: Final answer
    x = 297,111.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.