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Finding the Third Proportional to 59,301 and 128,438

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Solution

The third proportional to 59,301 and 128,438 is: 278,179.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,301 : 128,438 = 128,438 : x
  2. Step 2: Convert to fraction form
    59,301/128,438 = 128,438/x
  3. Step 3: Cross multiply
    59,301x = 128,438 × 128,438
  4. Step 4: Simplify right side
    59,301x = 16,496,319,844
  5. Step 5: Solve for x
    x = 16,496,319,844/59,301
  6. Step 6: Final answer
    x = 278,179.45

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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.