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Finding the Third Proportional to 107,624 and 161,820

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Solution

The third proportional to 107,624 and 161,820 is: 243,307.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,624 : 161,820 = 161,820 : x
  2. Step 2: Convert to fraction form
    107,624/161,820 = 161,820/x
  3. Step 3: Cross multiply
    107,624x = 161,820 × 161,820
  4. Step 4: Simplify right side
    107,624x = 26,185,712,400
  5. Step 5: Solve for x
    x = 26,185,712,400/107,624
  6. Step 6: Final answer
    x = 243,307.37

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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.