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Finding the Third Proportional to 103,069 and 163,955

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Solution

The third proportional to 103,069 and 163,955 is: 260,808.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,069 : 163,955 = 163,955 : x
  2. Step 2: Convert to fraction form
    103,069/163,955 = 163,955/x
  3. Step 3: Cross multiply
    103,069x = 163,955 × 163,955
  4. Step 4: Simplify right side
    103,069x = 26,881,242,025
  5. Step 5: Solve for x
    x = 26,881,242,025/103,069
  6. Step 6: Final answer
    x = 260,808.22

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.