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Finding the Third Proportional to 55,521 and 72,894

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Solution

The third proportional to 55,521 and 72,894 is: 95,703.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,521 : 72,894 = 72,894 : x
  2. Step 2: Convert to fraction form
    55,521/72,894 = 72,894/x
  3. Step 3: Cross multiply
    55,521x = 72,894 × 72,894
  4. Step 4: Simplify right side
    55,521x = 5,313,535,236
  5. Step 5: Solve for x
    x = 5,313,535,236/55,521
  6. Step 6: Final answer
    x = 95,703.16

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.