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Finding the Third Proportional to 54,924 and 88,434

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Solution

The third proportional to 54,924 and 88,434 is: 142,388.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,924 : 88,434 = 88,434 : x
  2. Step 2: Convert to fraction form
    54,924/88,434 = 88,434/x
  3. Step 3: Cross multiply
    54,924x = 88,434 × 88,434
  4. Step 4: Simplify right side
    54,924x = 7,820,572,356
  5. Step 5: Solve for x
    x = 7,820,572,356/54,924
  6. Step 6: Final answer
    x = 142,388.98

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.