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Finding the Third Proportional to 59,785 and 93,310

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Solution

The third proportional to 59,785 and 93,310 is: 145,634.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,785 : 93,310 = 93,310 : x
  2. Step 2: Convert to fraction form
    59,785/93,310 = 93,310/x
  3. Step 3: Cross multiply
    59,785x = 93,310 × 93,310
  4. Step 4: Simplify right side
    59,785x = 8,706,756,100
  5. Step 5: Solve for x
    x = 8,706,756,100/59,785
  6. Step 6: Final answer
    x = 145,634.46

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.