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Finding the Third Proportional to 108,741 and 153,129

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Solution

The third proportional to 108,741 and 153,129 is: 215,636.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,741 : 153,129 = 153,129 : x
  2. Step 2: Convert to fraction form
    108,741/153,129 = 153,129/x
  3. Step 3: Cross multiply
    108,741x = 153,129 × 153,129
  4. Step 4: Simplify right side
    108,741x = 23,448,490,641
  5. Step 5: Solve for x
    x = 23,448,490,641/108,741
  6. Step 6: Final answer
    x = 215,636.15

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.