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Finding the Third Proportional to 106,534 and 161,746

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Solution

The third proportional to 106,534 and 161,746 is: 245,572.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,534 : 161,746 = 161,746 : x
  2. Step 2: Convert to fraction form
    106,534/161,746 = 161,746/x
  3. Step 3: Cross multiply
    106,534x = 161,746 × 161,746
  4. Step 4: Simplify right side
    106,534x = 26,161,768,516
  5. Step 5: Solve for x
    x = 26,161,768,516/106,534
  6. Step 6: Final answer
    x = 245,572.01

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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.