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Finding the Third Proportional to 59,740 and 88,239

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Solution

The third proportional to 59,740 and 88,239 is: 130,333.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,740 : 88,239 = 88,239 : x
  2. Step 2: Convert to fraction form
    59,740/88,239 = 88,239/x
  3. Step 3: Cross multiply
    59,740x = 88,239 × 88,239
  4. Step 4: Simplify right side
    59,740x = 7,786,121,121
  5. Step 5: Solve for x
    x = 7,786,121,121/59,740
  6. Step 6: Final answer
    x = 130,333.46

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.