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Finding the Third Proportional to 53,026 and 114,354

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Solution

The third proportional to 53,026 and 114,354 is: 246,611.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,026 : 114,354 = 114,354 : x
  2. Step 2: Convert to fraction form
    53,026/114,354 = 114,354/x
  3. Step 3: Cross multiply
    53,026x = 114,354 × 114,354
  4. Step 4: Simplify right side
    53,026x = 13,076,837,316
  5. Step 5: Solve for x
    x = 13,076,837,316/53,026
  6. Step 6: Final answer
    x = 246,611.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.