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Finding the Third Proportional to 100,623 and 159,199.50

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Solution

The third proportional to 100,623 and 159,199.50 is: 251,875.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,623 : 159,199.50 = 159,199.50 : x
  2. Step 2: Convert to fraction form
    100,623/159,199.50 = 159,199.50/x
  3. Step 3: Cross multiply
    100,623x = 159,199.50 × 159,199.50
  4. Step 4: Simplify right side
    100,623x = 25,344,480,800.25
  5. Step 5: Solve for x
    x = 25,344,480,800.25/100,623
  6. Step 6: Final answer
    x = 251,875.62

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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.