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Finding the Third Proportional to 157,972 and 250,102

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Solution

The third proportional to 157,972 and 250,102 is: 395,962.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,972 : 250,102 = 250,102 : x
  2. Step 2: Convert to fraction form
    157,972/250,102 = 250,102/x
  3. Step 3: Cross multiply
    157,972x = 250,102 × 250,102
  4. Step 4: Simplify right side
    157,972x = 62,551,010,404
  5. Step 5: Solve for x
    x = 62,551,010,404/157,972
  6. Step 6: Final answer
    x = 395,962.64

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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.