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Finding the Third Proportional to 63,288 and 97,992

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Solution

The third proportional to 63,288 and 97,992 is: 151,725.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,288 : 97,992 = 97,992 : x
  2. Step 2: Convert to fraction form
    63,288/97,992 = 97,992/x
  3. Step 3: Cross multiply
    63,288x = 97,992 × 97,992
  4. Step 4: Simplify right side
    63,288x = 9,602,432,064
  5. Step 5: Solve for x
    x = 9,602,432,064/63,288
  6. Step 6: Final answer
    x = 151,725.95

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.