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Finding the Third Proportional to 100,906 and 151,359

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Solution

The third proportional to 100,906 and 151,359 is: 227,038.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,906 : 151,359 = 151,359 : x
  2. Step 2: Convert to fraction form
    100,906/151,359 = 151,359/x
  3. Step 3: Cross multiply
    100,906x = 151,359 × 151,359
  4. Step 4: Simplify right side
    100,906x = 22,909,546,881
  5. Step 5: Solve for x
    x = 22,909,546,881/100,906
  6. Step 6: Final answer
    x = 227,038.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.