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Finding the Third Proportional to 53,270 and 118,364

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Solution

The third proportional to 53,270 and 118,364 is: 263,000.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,270 : 118,364 = 118,364 : x
  2. Step 2: Convert to fraction form
    53,270/118,364 = 118,364/x
  3. Step 3: Cross multiply
    53,270x = 118,364 × 118,364
  4. Step 4: Simplify right side
    53,270x = 14,010,036,496
  5. Step 5: Solve for x
    x = 14,010,036,496/53,270
  6. Step 6: Final answer
    x = 263,000.50

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.