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Finding the Third Proportional to 53,424 and 77,376

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Solution

The third proportional to 53,424 and 77,376 is: 112,066.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,424 : 77,376 = 77,376 : x
  2. Step 2: Convert to fraction form
    53,424/77,376 = 77,376/x
  3. Step 3: Cross multiply
    53,424x = 77,376 × 77,376
  4. Step 4: Simplify right side
    53,424x = 5,987,045,376
  5. Step 5: Solve for x
    x = 5,987,045,376/53,424
  6. Step 6: Final answer
    x = 112,066.59

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.