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Finding the Third Proportional to 91,205 and 145,704

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Solution

The third proportional to 91,205 and 145,704 is: 232,768.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,205 : 145,704 = 145,704 : x
  2. Step 2: Convert to fraction form
    91,205/145,704 = 145,704/x
  3. Step 3: Cross multiply
    91,205x = 145,704 × 145,704
  4. Step 4: Simplify right side
    91,205x = 21,229,655,616
  5. Step 5: Solve for x
    x = 21,229,655,616/91,205
  6. Step 6: Final answer
    x = 232,768.55

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.