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Finding the Third Proportional to 64,476 and 139,032

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Solution

The third proportional to 64,476 and 139,032 is: 299,799.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,476 : 139,032 = 139,032 : x
  2. Step 2: Convert to fraction form
    64,476/139,032 = 139,032/x
  3. Step 3: Cross multiply
    64,476x = 139,032 × 139,032
  4. Step 4: Simplify right side
    64,476x = 19,329,897,024
  5. Step 5: Solve for x
    x = 19,329,897,024/64,476
  6. Step 6: Final answer
    x = 299,799.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.