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Finding the Third Proportional to 72,564 and 112,125

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Solution

The third proportional to 72,564 and 112,125 is: 173,254.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,564 : 112,125 = 112,125 : x
  2. Step 2: Convert to fraction form
    72,564/112,125 = 112,125/x
  3. Step 3: Cross multiply
    72,564x = 112,125 × 112,125
  4. Step 4: Simplify right side
    72,564x = 12,572,015,625
  5. Step 5: Solve for x
    x = 12,572,015,625/72,564
  6. Step 6: Final answer
    x = 173,254.17

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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.