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Finding the Third Proportional to 74,853 and 109,359

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Solution

The third proportional to 74,853 and 109,359 is: 159,771.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,853 : 109,359 = 109,359 : x
  2. Step 2: Convert to fraction form
    74,853/109,359 = 109,359/x
  3. Step 3: Cross multiply
    74,853x = 109,359 × 109,359
  4. Step 4: Simplify right side
    74,853x = 11,959,390,881
  5. Step 5: Solve for x
    x = 11,959,390,881/74,853
  6. Step 6: Final answer
    x = 159,771.70

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.