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Finding the Third Proportional to 112,266 and 165,066

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Solution

The third proportional to 112,266 and 165,066 is: 242,698.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,266 : 165,066 = 165,066 : x
  2. Step 2: Convert to fraction form
    112,266/165,066 = 165,066/x
  3. Step 3: Cross multiply
    112,266x = 165,066 × 165,066
  4. Step 4: Simplify right side
    112,266x = 27,246,784,356
  5. Step 5: Solve for x
    x = 27,246,784,356/112,266
  6. Step 6: Final answer
    x = 242,698.45

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.