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Finding the Third Proportional to 53,358 and 118,015

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Solution

The third proportional to 53,358 and 118,015 is: 261,020.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,358 : 118,015 = 118,015 : x
  2. Step 2: Convert to fraction form
    53,358/118,015 = 118,015/x
  3. Step 3: Cross multiply
    53,358x = 118,015 × 118,015
  4. Step 4: Simplify right side
    53,358x = 13,927,540,225
  5. Step 5: Solve for x
    x = 13,927,540,225/53,358
  6. Step 6: Final answer
    x = 261,020.66

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.