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Finding the Third Proportional to 63,072 and 92,928

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Solution

The third proportional to 63,072 and 92,928 is: 136,916.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,072 : 92,928 = 92,928 : x
  2. Step 2: Convert to fraction form
    63,072/92,928 = 92,928/x
  3. Step 3: Cross multiply
    63,072x = 92,928 × 92,928
  4. Step 4: Simplify right side
    63,072x = 8,635,613,184
  5. Step 5: Solve for x
    x = 8,635,613,184/63,072
  6. Step 6: Final answer
    x = 136,916.75

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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.