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Finding the Third Proportional to 106,810 and 161,033

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Solution

The third proportional to 106,810 and 161,033 is: 242,782.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,810 : 161,033 = 161,033 : x
  2. Step 2: Convert to fraction form
    106,810/161,033 = 161,033/x
  3. Step 3: Cross multiply
    106,810x = 161,033 × 161,033
  4. Step 4: Simplify right side
    106,810x = 25,931,627,089
  5. Step 5: Solve for x
    x = 25,931,627,089/106,810
  6. Step 6: Final answer
    x = 242,782.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.