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Finding the Third Proportional to 72,747 and 112,121

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Solution

The third proportional to 72,747 and 112,121 is: 172,806.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,747 : 112,121 = 112,121 : x
  2. Step 2: Convert to fraction form
    72,747/112,121 = 112,121/x
  3. Step 3: Cross multiply
    72,747x = 112,121 × 112,121
  4. Step 4: Simplify right side
    72,747x = 12,571,118,641
  5. Step 5: Solve for x
    x = 12,571,118,641/72,747
  6. Step 6: Final answer
    x = 172,806.01

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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.