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Finding the Third Proportional to 63,767 and 93,706

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Solution

The third proportional to 63,767 and 93,706 is: 137,701.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,767 : 93,706 = 93,706 : x
  2. Step 2: Convert to fraction form
    63,767/93,706 = 93,706/x
  3. Step 3: Cross multiply
    63,767x = 93,706 × 93,706
  4. Step 4: Simplify right side
    63,767x = 8,780,814,436
  5. Step 5: Solve for x
    x = 8,780,814,436/63,767
  6. Step 6: Final answer
    x = 137,701.55

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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.