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Finding the Third Proportional to 69,343 and 99,089

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Solution

The third proportional to 69,343 and 99,089 is: 141,595.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,343 : 99,089 = 99,089 : x
  2. Step 2: Convert to fraction form
    69,343/99,089 = 99,089/x
  3. Step 3: Cross multiply
    69,343x = 99,089 × 99,089
  4. Step 4: Simplify right side
    69,343x = 9,818,629,921
  5. Step 5: Solve for x
    x = 9,818,629,921/69,343
  6. Step 6: Final answer
    x = 141,595.11

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.