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Finding the Third Proportional to 63,444 and 92,169

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Solution

The third proportional to 63,444 and 92,169 is: 133,899.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,444 : 92,169 = 92,169 : x
  2. Step 2: Convert to fraction form
    63,444/92,169 = 92,169/x
  3. Step 3: Cross multiply
    63,444x = 92,169 × 92,169
  4. Step 4: Simplify right side
    63,444x = 8,495,124,561
  5. Step 5: Solve for x
    x = 8,495,124,561/63,444
  6. Step 6: Final answer
    x = 133,899.57

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.