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Finding the Third Proportional to 72,205 and 111,587

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Solution

The third proportional to 72,205 and 111,587 is: 172,448.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,205 : 111,587 = 111,587 : x
  2. Step 2: Convert to fraction form
    72,205/111,587 = 111,587/x
  3. Step 3: Cross multiply
    72,205x = 111,587 × 111,587
  4. Step 4: Simplify right side
    72,205x = 12,451,658,569
  5. Step 5: Solve for x
    x = 12,451,658,569/72,205
  6. Step 6: Final answer
    x = 172,448.70

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