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Finding the Third Proportional to 111,079 and 172,045.50

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Solution

The third proportional to 111,079 and 172,045.50 is: 266,473.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,079 : 172,045.50 = 172,045.50 : x
  2. Step 2: Convert to fraction form
    111,079/172,045.50 = 172,045.50/x
  3. Step 3: Cross multiply
    111,079x = 172,045.50 × 172,045.50
  4. Step 4: Simplify right side
    111,079x = 29,599,654,070.25
  5. Step 5: Solve for x
    x = 29,599,654,070.25/111,079
  6. Step 6: Final answer
    x = 266,473.90

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.