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Finding the Third Proportional to 114,559 and 172,054

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Solution

The third proportional to 114,559 and 172,054 is: 258,404.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,559 : 172,054 = 172,054 : x
  2. Step 2: Convert to fraction form
    114,559/172,054 = 172,054/x
  3. Step 3: Cross multiply
    114,559x = 172,054 × 172,054
  4. Step 4: Simplify right side
    114,559x = 29,602,578,916
  5. Step 5: Solve for x
    x = 29,602,578,916/114,559
  6. Step 6: Final answer
    x = 258,404.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.