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Finding the Third Proportional to 68,972 and 92,686.25

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Solution

The third proportional to 68,972 and 92,686.25 is: 124,554.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,972 : 92,686.25 = 92,686.25 : x
  2. Step 2: Convert to fraction form
    68,972/92,686.25 = 92,686.25/x
  3. Step 3: Cross multiply
    68,972x = 92,686.25 × 92,686.25
  4. Step 4: Simplify right side
    68,972x = 8,590,740,939.06
  5. Step 5: Solve for x
    x = 8,590,740,939.06/68,972
  6. Step 6: Final answer
    x = 124,554.04

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.