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Finding the Third Proportional to 53,402 and 77,349

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Solution

The third proportional to 53,402 and 77,349 is: 112,034.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,402 : 77,349 = 77,349 : x
  2. Step 2: Convert to fraction form
    53,402/77,349 = 77,349/x
  3. Step 3: Cross multiply
    53,402x = 77,349 × 77,349
  4. Step 4: Simplify right side
    53,402x = 5,982,867,801
  5. Step 5: Solve for x
    x = 5,982,867,801/53,402
  6. Step 6: Final answer
    x = 112,034.53

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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.