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Finding the Third Proportional to 116,599 and 171,069

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Solution

The third proportional to 116,599 and 171,069 is: 250,985.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,599 : 171,069 = 171,069 : x
  2. Step 2: Convert to fraction form
    116,599/171,069 = 171,069/x
  3. Step 3: Cross multiply
    116,599x = 171,069 × 171,069
  4. Step 4: Simplify right side
    116,599x = 29,264,602,761
  5. Step 5: Solve for x
    x = 29,264,602,761/116,599
  6. Step 6: Final answer
    x = 250,985.02

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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.