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Finding the Third Proportional to 99,154 and 156,832

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Solution

The third proportional to 99,154 and 156,832 is: 248,061.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,154 : 156,832 = 156,832 : x
  2. Step 2: Convert to fraction form
    99,154/156,832 = 156,832/x
  3. Step 3: Cross multiply
    99,154x = 156,832 × 156,832
  4. Step 4: Simplify right side
    99,154x = 24,596,276,224
  5. Step 5: Solve for x
    x = 24,596,276,224/99,154
  6. Step 6: Final answer
    x = 248,061.36

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.