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Finding the Third Proportional to 99,942 and 153,772

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Solution

The third proportional to 99,942 and 153,772 is: 236,595.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,942 : 153,772 = 153,772 : x
  2. Step 2: Convert to fraction form
    99,942/153,772 = 153,772/x
  3. Step 3: Cross multiply
    99,942x = 153,772 × 153,772
  4. Step 4: Simplify right side
    99,942x = 23,645,827,984
  5. Step 5: Solve for x
    x = 23,645,827,984/99,942
  6. Step 6: Final answer
    x = 236,595.51

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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.