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Finding the Third Proportional to 63,266 and 92,995

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Solution

The third proportional to 63,266 and 92,995 is: 136,693.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,266 : 92,995 = 92,995 : x
  2. Step 2: Convert to fraction form
    63,266/92,995 = 92,995/x
  3. Step 3: Cross multiply
    63,266x = 92,995 × 92,995
  4. Step 4: Simplify right side
    63,266x = 8,648,070,025
  5. Step 5: Solve for x
    x = 8,648,070,025/63,266
  6. Step 6: Final answer
    x = 136,693.80

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.