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Finding the Third Proportional to 59,155 and 91,648

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Solution

The third proportional to 59,155 and 91,648 is: 141,988.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,155 : 91,648 = 91,648 : x
  2. Step 2: Convert to fraction form
    59,155/91,648 = 91,648/x
  3. Step 3: Cross multiply
    59,155x = 91,648 × 91,648
  4. Step 4: Simplify right side
    59,155x = 8,399,355,904
  5. Step 5: Solve for x
    x = 8,399,355,904/59,155
  6. Step 6: Final answer
    x = 141,988.94

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.