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Finding the Third Proportional to 69,177 and 93,877.50

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Solution

The third proportional to 69,177 and 93,877.50 is: 127,397.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,177 : 93,877.50 = 93,877.50 : x
  2. Step 2: Convert to fraction form
    69,177/93,877.50 = 93,877.50/x
  3. Step 3: Cross multiply
    69,177x = 93,877.50 × 93,877.50
  4. Step 4: Simplify right side
    69,177x = 8,812,985,006.25
  5. Step 5: Solve for x
    x = 8,812,985,006.25/69,177
  6. Step 6: Final answer
    x = 127,397.62

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.