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Finding the Third Proportional to 101,179 and 153,281

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Solution

The third proportional to 101,179 and 153,281 is: 232,212.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,179 : 153,281 = 153,281 : x
  2. Step 2: Convert to fraction form
    101,179/153,281 = 153,281/x
  3. Step 3: Cross multiply
    101,179x = 153,281 × 153,281
  4. Step 4: Simplify right side
    101,179x = 23,495,064,961
  5. Step 5: Solve for x
    x = 23,495,064,961/101,179
  6. Step 6: Final answer
    x = 232,212.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.