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Finding the Third Proportional to 106,495 and 161,687

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Solution

The third proportional to 106,495 and 161,687 is: 245,482.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,495 : 161,687 = 161,687 : x
  2. Step 2: Convert to fraction form
    106,495/161,687 = 161,687/x
  3. Step 3: Cross multiply
    106,495x = 161,687 × 161,687
  4. Step 4: Simplify right side
    106,495x = 26,142,685,969
  5. Step 5: Solve for x
    x = 26,142,685,969/106,495
  6. Step 6: Final answer
    x = 245,482.75

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