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Finding the Third Proportional to 77,358 and 104,373

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Solution

The third proportional to 77,358 and 104,373 is: 140,822.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,358 : 104,373 = 104,373 : x
  2. Step 2: Convert to fraction form
    77,358/104,373 = 104,373/x
  3. Step 3: Cross multiply
    77,358x = 104,373 × 104,373
  4. Step 4: Simplify right side
    77,358x = 10,893,723,129
  5. Step 5: Solve for x
    x = 10,893,723,129/77,358
  6. Step 6: Final answer
    x = 140,822.19

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.