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Finding the Third Proportional to 59,493 and 87,594

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Solution

The third proportional to 59,493 and 87,594 is: 128,968.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,493 : 87,594 = 87,594 : x
  2. Step 2: Convert to fraction form
    59,493/87,594 = 87,594/x
  3. Step 3: Cross multiply
    59,493x = 87,594 × 87,594
  4. Step 4: Simplify right side
    59,493x = 7,672,708,836
  5. Step 5: Solve for x
    x = 7,672,708,836/59,493
  6. Step 6: Final answer
    x = 128,968.26

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.