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Finding the Third Proportional to 53,312 and 80,106

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Solution

The third proportional to 53,312 and 80,106 is: 120,366.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,312 : 80,106 = 80,106 : x
  2. Step 2: Convert to fraction form
    53,312/80,106 = 80,106/x
  3. Step 3: Cross multiply
    53,312x = 80,106 × 80,106
  4. Step 4: Simplify right side
    53,312x = 6,416,971,236
  5. Step 5: Solve for x
    x = 6,416,971,236/53,312
  6. Step 6: Final answer
    x = 120,366.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.