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Finding the Third Proportional to 72,749 and 112,124

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Solution

The third proportional to 72,749 and 112,124 is: 172,810.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,749 : 112,124 = 112,124 : x
  2. Step 2: Convert to fraction form
    72,749/112,124 = 112,124/x
  3. Step 3: Cross multiply
    72,749x = 112,124 × 112,124
  4. Step 4: Simplify right side
    72,749x = 12,571,791,376
  5. Step 5: Solve for x
    x = 12,571,791,376/72,749
  6. Step 6: Final answer
    x = 172,810.50

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.