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Finding the Third Proportional to 53,327 and 114,430

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Solution

The third proportional to 53,327 and 114,430 is: 245,545.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,327 : 114,430 = 114,430 : x
  2. Step 2: Convert to fraction form
    53,327/114,430 = 114,430/x
  3. Step 3: Cross multiply
    53,327x = 114,430 × 114,430
  4. Step 4: Simplify right side
    53,327x = 13,094,224,900
  5. Step 5: Solve for x
    x = 13,094,224,900/53,327
  6. Step 6: Final answer
    x = 245,545.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.