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Finding the Third Proportional to 59,454 and 128,871

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Solution

The third proportional to 59,454 and 128,871 is: 279,337.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,454 : 128,871 = 128,871 : x
  2. Step 2: Convert to fraction form
    59,454/128,871 = 128,871/x
  3. Step 3: Cross multiply
    59,454x = 128,871 × 128,871
  4. Step 4: Simplify right side
    59,454x = 16,607,734,641
  5. Step 5: Solve for x
    x = 16,607,734,641/59,454
  6. Step 6: Final answer
    x = 279,337.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.