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Finding the Third Proportional to 111,202 and 163,862

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Solution

The third proportional to 111,202 and 163,862 is: 241,459.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,202 : 163,862 = 163,862 : x
  2. Step 2: Convert to fraction form
    111,202/163,862 = 163,862/x
  3. Step 3: Cross multiply
    111,202x = 163,862 × 163,862
  4. Step 4: Simplify right side
    111,202x = 26,850,755,044
  5. Step 5: Solve for x
    x = 26,850,755,044/111,202
  6. Step 6: Final answer
    x = 241,459.28

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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.