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Finding the Third Proportional to 98,997 and 134,502

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Solution

The third proportional to 98,997 and 134,502 is: 182,740.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,997 : 134,502 = 134,502 : x
  2. Step 2: Convert to fraction form
    98,997/134,502 = 134,502/x
  3. Step 3: Cross multiply
    98,997x = 134,502 × 134,502
  4. Step 4: Simplify right side
    98,997x = 18,090,788,004
  5. Step 5: Solve for x
    x = 18,090,788,004/98,997
  6. Step 6: Final answer
    x = 182,740.77

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.