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Finding the Third Proportional to 53,355 and 114,486

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Solution

The third proportional to 53,355 and 114,486 is: 245,657.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,355 : 114,486 = 114,486 : x
  2. Step 2: Convert to fraction form
    53,355/114,486 = 114,486/x
  3. Step 3: Cross multiply
    53,355x = 114,486 × 114,486
  4. Step 4: Simplify right side
    53,355x = 13,107,044,196
  5. Step 5: Solve for x
    x = 13,107,044,196/53,355
  6. Step 6: Final answer
    x = 245,657.28

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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.