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Finding the Third Proportional to 63,303 and 138,369

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Solution

The third proportional to 63,303 and 138,369 is: 302,449.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,303 : 138,369 = 138,369 : x
  2. Step 2: Convert to fraction form
    63,303/138,369 = 138,369/x
  3. Step 3: Cross multiply
    63,303x = 138,369 × 138,369
  4. Step 4: Simplify right side
    63,303x = 19,145,980,161
  5. Step 5: Solve for x
    x = 19,145,980,161/63,303
  6. Step 6: Final answer
    x = 302,449.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.