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Finding the Third Proportional to 106,196 and 165,746

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Solution

The third proportional to 106,196 and 165,746 is: 258,689.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,196 : 165,746 = 165,746 : x
  2. Step 2: Convert to fraction form
    106,196/165,746 = 165,746/x
  3. Step 3: Cross multiply
    106,196x = 165,746 × 165,746
  4. Step 4: Simplify right side
    106,196x = 27,471,736,516
  5. Step 5: Solve for x
    x = 27,471,736,516/106,196
  6. Step 6: Final answer
    x = 258,689.00

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.