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Finding the Third Proportional to 63,314 and 93,995

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Solution

The third proportional to 63,314 and 93,995 is: 139,543.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,314 : 93,995 = 93,995 : x
  2. Step 2: Convert to fraction form
    63,314/93,995 = 93,995/x
  3. Step 3: Cross multiply
    63,314x = 93,995 × 93,995
  4. Step 4: Simplify right side
    63,314x = 8,835,060,025
  5. Step 5: Solve for x
    x = 8,835,060,025/63,314
  6. Step 6: Final answer
    x = 139,543.55

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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.