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Finding the Third Proportional to 69,392 and 99,160

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Solution

The third proportional to 69,392 and 99,160 is: 141,697.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,392 : 99,160 = 99,160 : x
  2. Step 2: Convert to fraction form
    69,392/99,160 = 99,160/x
  3. Step 3: Cross multiply
    69,392x = 99,160 × 99,160
  4. Step 4: Simplify right side
    69,392x = 9,832,705,600
  5. Step 5: Solve for x
    x = 9,832,705,600/69,392
  6. Step 6: Final answer
    x = 141,697.97

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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.