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Finding the Third Proportional to 59,752 and 90,112

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Solution

The third proportional to 59,752 and 90,112 is: 135,897.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,752 : 90,112 = 90,112 : x
  2. Step 2: Convert to fraction form
    59,752/90,112 = 90,112/x
  3. Step 3: Cross multiply
    59,752x = 90,112 × 90,112
  4. Step 4: Simplify right side
    59,752x = 8,120,172,544
  5. Step 5: Solve for x
    x = 8,120,172,544/59,752
  6. Step 6: Final answer
    x = 135,897.92

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.