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Finding the Third Proportional to 63,304 and 93,980

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Solution

The third proportional to 63,304 and 93,980 is: 139,521.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,304 : 93,980 = 93,980 : x
  2. Step 2: Convert to fraction form
    63,304/93,980 = 93,980/x
  3. Step 3: Cross multiply
    63,304x = 93,980 × 93,980
  4. Step 4: Simplify right side
    63,304x = 8,832,240,400
  5. Step 5: Solve for x
    x = 8,832,240,400/63,304
  6. Step 6: Final answer
    x = 139,521.05

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.