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Finding the Third Proportional to 69,442.50 and 103,707

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Solution

The third proportional to 69,442.50 and 103,707 is: 154,878.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,442.50 : 103,707 = 103,707 : x
  2. Step 2: Convert to fraction form
    69,442.50/103,707 = 103,707/x
  3. Step 3: Cross multiply
    69,442.50x = 103,707 × 103,707
  4. Step 4: Simplify right side
    69,442.50x = 10,755,141,849
  5. Step 5: Solve for x
    x = 10,755,141,849/69,442.50
  6. Step 6: Final answer
    x = 154,878.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.