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Finding the Third Proportional to 72,188 and 112,209

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Solution

The third proportional to 72,188 and 112,209 is: 174,417.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,188 : 112,209 = 112,209 : x
  2. Step 2: Convert to fraction form
    72,188/112,209 = 112,209/x
  3. Step 3: Cross multiply
    72,188x = 112,209 × 112,209
  4. Step 4: Simplify right side
    72,188x = 12,590,859,681
  5. Step 5: Solve for x
    x = 12,590,859,681/72,188
  6. Step 6: Final answer
    x = 174,417.63

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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.