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Finding the Third Proportional to 55,572 and 79,411

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Solution

The third proportional to 55,572 and 79,411 is: 113,476.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,572 : 79,411 = 79,411 : x
  2. Step 2: Convert to fraction form
    55,572/79,411 = 79,411/x
  3. Step 3: Cross multiply
    55,572x = 79,411 × 79,411
  4. Step 4: Simplify right side
    55,572x = 6,306,106,921
  5. Step 5: Solve for x
    x = 6,306,106,921/55,572
  6. Step 6: Final answer
    x = 113,476.34

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.