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Finding the Third Proportional to 69,995 and 107,585

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Solution

The third proportional to 69,995 and 107,585 is: 165,362.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,995 : 107,585 = 107,585 : x
  2. Step 2: Convert to fraction form
    69,995/107,585 = 107,585/x
  3. Step 3: Cross multiply
    69,995x = 107,585 × 107,585
  4. Step 4: Simplify right side
    69,995x = 11,574,532,225
  5. Step 5: Solve for x
    x = 11,574,532,225/69,995
  6. Step 6: Final answer
    x = 165,362.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.