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Finding the Third Proportional to 77,473 and 104,548

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Solution

The third proportional to 77,473 and 104,548 is: 141,085.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,473 : 104,548 = 104,548 : x
  2. Step 2: Convert to fraction form
    77,473/104,548 = 104,548/x
  3. Step 3: Cross multiply
    77,473x = 104,548 × 104,548
  4. Step 4: Simplify right side
    77,473x = 10,930,284,304
  5. Step 5: Solve for x
    x = 10,930,284,304/77,473
  6. Step 6: Final answer
    x = 141,085.08

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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.