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Finding the Third Proportional to 63,932 and 93,574

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Solution

The third proportional to 63,932 and 93,574 is: 136,959.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,932 : 93,574 = 93,574 : x
  2. Step 2: Convert to fraction form
    63,932/93,574 = 93,574/x
  3. Step 3: Cross multiply
    63,932x = 93,574 × 93,574
  4. Step 4: Simplify right side
    63,932x = 8,756,093,476
  5. Step 5: Solve for x
    x = 8,756,093,476/63,932
  6. Step 6: Final answer
    x = 136,959.48

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.