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Finding the Third Proportional to 52,700 and 114,354

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Solution

The third proportional to 52,700 and 114,354 is: 248,137.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,700 : 114,354 = 114,354 : x
  2. Step 2: Convert to fraction form
    52,700/114,354 = 114,354/x
  3. Step 3: Cross multiply
    52,700x = 114,354 × 114,354
  4. Step 4: Simplify right side
    52,700x = 13,076,837,316
  5. Step 5: Solve for x
    x = 13,076,837,316/52,700
  6. Step 6: Final answer
    x = 248,137.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.