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Finding the Third Proportional to 103,640 and 157,486

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Solution

The third proportional to 103,640 and 157,486 is: 239,307.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,640 : 157,486 = 157,486 : x
  2. Step 2: Convert to fraction form
    103,640/157,486 = 157,486/x
  3. Step 3: Cross multiply
    103,640x = 157,486 × 157,486
  4. Step 4: Simplify right side
    103,640x = 24,801,840,196
  5. Step 5: Solve for x
    x = 24,801,840,196/103,640
  6. Step 6: Final answer
    x = 239,307.61

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.