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Finding the Third Proportional to 114,800 and 172,316

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Solution

The third proportional to 114,800 and 172,316 is: 258,648.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,800 : 172,316 = 172,316 : x
  2. Step 2: Convert to fraction form
    114,800/172,316 = 172,316/x
  3. Step 3: Cross multiply
    114,800x = 172,316 × 172,316
  4. Step 4: Simplify right side
    114,800x = 29,692,803,856
  5. Step 5: Solve for x
    x = 29,692,803,856/114,800
  6. Step 6: Final answer
    x = 258,648.12

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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.