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Finding the Third Proportional to 106,532 and 161,740

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Solution

The third proportional to 106,532 and 161,740 is: 245,558.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,532 : 161,740 = 161,740 : x
  2. Step 2: Convert to fraction form
    106,532/161,740 = 161,740/x
  3. Step 3: Cross multiply
    106,532x = 161,740 × 161,740
  4. Step 4: Simplify right side
    106,532x = 26,159,827,600
  5. Step 5: Solve for x
    x = 26,159,827,600/106,532
  6. Step 6: Final answer
    x = 245,558.40

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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.