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Finding the Third Proportional to 63,984 and 139,614

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Solution

The third proportional to 63,984 and 139,614 is: 304,639.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,984 : 139,614 = 139,614 : x
  2. Step 2: Convert to fraction form
    63,984/139,614 = 139,614/x
  3. Step 3: Cross multiply
    63,984x = 139,614 × 139,614
  4. Step 4: Simplify right side
    63,984x = 19,492,068,996
  5. Step 5: Solve for x
    x = 19,492,068,996/63,984
  6. Step 6: Final answer
    x = 304,639.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.